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3984598968 = 2337371374679
BaseRepresentation
bin1110110110000000…
…0010011110111000
3101021200201121012120
43231200002132320
531130024131333
61455215441240
7200512350420
oct35540023670
911250647176
103984598968
1117652251a9
12932526220
134b668b68c
1429b2a5480
15184c31db3
hexed8027b8

3984598968 has 128 divisors (see below), whose sum is σ = 11780121600. Its totient is φ = 1099367424.

The previous prime is 3984598967. The next prime is 3984598991. The reversal of 3984598968 is 8698954893.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3984598967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849253 + ... + 853931.

It is an arithmetic number, because the mean of its divisors is an integer number (92032200).

Almost surely, 23984598968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3984598968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5890060800).

3984598968 is an abundant number, since it is smaller than the sum of its proper divisors (7795522632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3984598968 is a wasteful number, since it uses less digits than its factorization.

3984598968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4869 (or 4865 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 69.

The square root of 3984598968 is about 63123.6799307518. The cubic root of 3984598968 is about 1585.3611304493.

The spelling of 3984598968 in words is "three billion, nine hundred eighty-four million, five hundred ninety-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 137 148 168 222 259 274 296 411 444 518 548 777 822 888 959 1036 1096 1554 1644 1918 2072 2877 3108 3288 3836 4679 5069 5754 6216 7672 9358 10138 11508 14037 15207 18716 20276 23016 28074 30414 32753 35483 37432 40552 56148 60828 65506 70966 98259 106449 112296 121656 131012 141932 173123 196518 212898 262024 283864 346246 393036 425796 519369 641023 692492 786072 851592 1038738 1211861 1282046 1384984 1923069 2077476 2423722 2564092 3635583 3846138 4154952 4487161 4847444 5128184 7271166 7692276 8974322 9694888 13461483 14542332 15384552 17948644 23717851 26922966 29084664 35897288 47435702 53845932 71153553 94871404 107691864 142307106 166024957 189742808 284614212 332049914 498074871 569228424 664099828 996149742 1328199656 1992299484 3984598968