3922034688 has 512 divisors, whose sum is σ = 14092646400. Its totient is φ = 1061683200.

The previous prime is 3922034653. The next prime is 3922034707. The reversal of 3922034688 is 8864302293.

3922034688 is a `hidden beast` number, since 3 + 9 + 220 + 346 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126517233 + ... + 126517263.

It is an arithmetic number, because the mean of its divisors is an integer number (27524700).

Almost surely, 2^3922034688 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 3922034688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046323200).

3922034688 is an abundant number, since it is smaller than the sum of its proper divisors (10170611712).

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

3922034688 is a wasteful number, since it uses less digits than its factorization.

3922034688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3922034688 is about 62626.1501930304. The cubic root of 3922034688 is about 1577.0197905592.

The spelling of 3922034688 in words is "three billion, nine hundred twenty-two million, thirty-four thousand, six hundred eighty-eight".