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3990744576 = 293271331307
BaseRepresentation
bin1110110111011101…
…1110111000000000
3101022010021211101200
43231313132320000
531133112311301
61455555301200
7200615524560
oct35567367000
911263254350
103990744576
111768742515
129345aa800
134b7a30a30
1429c024da0
15185547c86
hexedddee00

3990744576 has 480 divisors, whose sum is σ = 14680393728. Its totient is φ = 1015234560.

The previous prime is 3990744533. The next prime is 3990744599. The reversal of 3990744576 is 6754470993.

It is a happy number.

3990744576 is a `hidden beast` number, since 39 + 90 + 74 + 457 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12999015 + ... + 12999321.

Almost surely, 23990744576 is an apocalyptic number.

3990744576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3990744576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340196864).

3990744576 is an abundant number, since it is smaller than the sum of its proper divisors (10689649152).

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

3990744576 is a wasteful number, since it uses less digits than its factorization.

3990744576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 3990744576 is about 63172.3402764216. The cubic root of 3990744576 is about 1586.1757672881.

The spelling of 3990744576 in words is "three billion, nine hundred ninety million, seven hundred forty-four thousand, five hundred seventy-six".