3923034624 has 240 divisors, whose sum is σ = 12103153920. Its totient is φ = 1220567040.

The previous prime is 3923034601. The next prime is 3923034691. The reversal of 3923034624 is 4264303293.

3923034624 is a `hidden beast` number, since 3 + 9 + 23 + 0 + 3 + 4 + 624 = 666.

It is a super-2 number, since 2×3923034624² = 30780401322205642752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4142119 + ... + 4143065.

It is an arithmetic number, because the mean of its divisors is an integer number (50429808).

Almost surely, 2^3923034624 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 3923034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6051576960).

3923034624 is an abundant number, since it is smaller than the sum of its proper divisors (8180119296).

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

3923034624 is a wasteful number, since it uses less digits than its factorization.

3923034624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3923034624 is about 62634.1330585808. The cubic root of 3923034624 is about 1577.1538013463.

The spelling of 3923034624 in words is "three billion, nine hundred twenty-three million, thirty-four thousand, six hundred twenty-four".