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3995879920 = 245174368329
BaseRepresentation
bin1110111000101100…
…0100100111110000
3101022110221201202121
43232023010213300
531140421124140
61500301324024
7201010263454
oct35613044760
911273851677
103995879920
11177062a7aa
12936266614
134b8b0b2b6
1429c9a0664
15185c0e64a
hexee2c49f0

3995879920 has 80 divisors (see below), whose sum is σ = 10065828960. Its totient is φ = 1469325312.

The previous prime is 3995879893. The next prime is 3995879977. The reversal of 3995879920 is 299785993.

3995879920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 24316 + ... + 92644.

It is an arithmetic number, because the mean of its divisors is an integer number (125822862).

Almost surely, 23995879920 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 3995879920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032914480).

3995879920 is an abundant number, since it is smaller than the sum of its proper divisors (6069949040).

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

3995879920 is a wasteful number, since it uses less digits than its factorization.

3995879920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68402 (or 68396 counting only the distinct ones).

The product of its (nonzero) digits is 11022480, while the sum is 61.

The square root of 3995879920 is about 63212.9727192133. The cubic root of 3995879920 is about 1586.8558464573.

The spelling of 3995879920 in words is "three billion, nine hundred ninety-five million, eight hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 43 68 80 85 86 136 170 172 215 272 340 344 430 680 688 731 860 1360 1462 1720 2924 3440 3655 5848 7310 11696 14620 29240 58480 68329 136658 273316 341645 546632 683290 1093264 1161593 1366580 2323186 2733160 2938147 4646372 5466320 5807965 5876294 9292744 11615930 11752588 14690735 18585488 23231860 23505176 29381470 46463720 47010352 49948499 58762940 92927440 99896998 117525880 199793996 235051760 249742495 399587992 499484990 799175984 998969980 1997939960 3995879920