3896625600 has 1008 divisors, whose sum is σ = 17295083520. Its totient is φ = 812851200.

The previous prime is 3896625589. The next prime is 3896625617. The reversal of 3896625600 is 65266983.

It is a happy number.

3896625600 is a `hidden beast` number, since 3 + 89 + 6 + 6 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 90619179 + ... + 90619221.

Almost surely, 2^3896625600 is an apocalyptic number.

3896625600 is a gapful number since it is divisible by the number (30) 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 3896625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8647541760).

3896625600 is an abundant number, since it is smaller than the sum of its proper divisors (13398457920).

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

3896625600 is a wasteful number, since it uses less digits than its factorization.

3896625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3896625600 is about 62422.9573153980. The cubic root of 3896625600 is about 1573.6068103248.

The spelling of 3896625600 in words is "three billion, eight hundred ninety-six million, six hundred twenty-five thousand, six hundred".