3923925600 has 432 divisors, whose sum is σ = 15429512448. Its totient is φ = 848378880.

The previous prime is 3923925563. The next prime is 3923925611. The reversal of 3923925600 is 65293293.

It is a super-2 number, since 2×3923925600² = 30794384228670720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6064477 + ... + 6065123.

It is an arithmetic number, because the mean of its divisors is an integer number (35716464).

Almost surely, 2^3923925600 is an apocalyptic number.

3923925600 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 3923925600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714756224).

3923925600 is an abundant number, since it is smaller than the sum of its proper divisors (11505586848).

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

3923925600 is a wasteful number, since it uses less digits than its factorization.

3923925600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 3923925600 is about 62641.2451983515. The cubic root of 3923925600 is about 1577.2731901998.

It can be divided in two parts, 39 and 23925600, that multiplied together give a triangular number (933098400 = T₄₃₁₉₉).

The spelling of 3923925600 in words is "three billion, nine hundred twenty-three million, nine hundred twenty-five thousand, six hundred".