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3998625696 = 2533131941457
BaseRepresentation
bin1110111001010110…
…0010111110100000
3101022200010020021000
43232111202332200
531142122010241
61500440232000
7201042520602
oct35625427640
911280106230
103998625696
11177213573a
1293716b600
134b9560010
1429d0b7172
151860a2eb6
hexee562fa0

3998625696 has 384 divisors, whose sum is σ = 13572921600. Its totient is φ = 1134673920.

The previous prime is 3998625691. The next prime is 3998625751. The reversal of 3998625696 is 6965268993.

3998625696 is a `hidden beast` number, since 3 + 9 + 9 + 8 + 62 + 569 + 6 = 666.

It is a super-2 number, since 2×39986256962 = 31978014913422968832, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3998625691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8749500 + ... + 8749956.

It is an arithmetic number, because the mean of its divisors is an integer number (35346150).

Almost surely, 23998625696 is an apocalyptic number.

3998625696 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 3998625696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786460800).

3998625696 is an abundant number, since it is smaller than the sum of its proper divisors (9574295904).

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

3998625696 is a wasteful number, since it uses less digits than its factorization.

3998625696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The square root of 3998625696 is about 63234.6874428901. The cubic root of 3998625696 is about 1587.2192335092.

The spelling of 3998625696 in words is "three billion, nine hundred ninety-eight million, six hundred twenty-five thousand, six hundred ninety-six".