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3375731120 = 245531276269
BaseRepresentation
bin1100100100110101…
…1001000110110000
322201021000220112112
43021031121012300
523403141343440
61314545344452
7146440145456
oct31115310660
98637026475
103375731120
11148256a833
127a2638128
1341a4a9648
142404909d6
1514b561965
hexc93591b0

3375731120 has 80 divisors (see below), whose sum is σ = 8060912640. Its totient is φ = 1314173952.

The previous prime is 3375731119. The next prime is 3375731147. The reversal of 3375731120 is 211375733.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33757311202 = 22791121189072908800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 535346 + ... + 541614.

It is an arithmetic number, because the mean of its divisors is an integer number (100761408).

Almost surely, 23375731120 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 3375731120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030456320).

3375731120 is an abundant number, since it is smaller than the sum of its proper divisors (4685181520).

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

3375731120 is a wasteful number, since it uses less digits than its factorization.

3375731120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 32.

The square root of 3375731120 is about 58101.0423314419. The cubic root of 3375731120 is about 1500.1083062537.

The spelling of 3375731120 in words is "three billion, three hundred seventy-five million, seven hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 127 212 254 265 424 508 530 635 848 1016 1060 1270 2032 2120 2540 4240 5080 6269 6731 10160 12538 13462 25076 26924 31345 33655 50152 53848 62690 67310 100304 107696 125380 134620 250760 269240 332257 501520 538480 664514 796163 1329028 1592326 1661285 2658056 3184652 3322570 3980815 5316112 6369304 6645140 7961630 12738608 13290280 15923260 26580560 31846520 42196639 63693040 84393278 168786556 210983195 337573112 421966390 675146224 843932780 1687865560 3375731120