3922663680 has 288 divisors, whose sum is σ = 14992494720. Its totient is φ = 965468160.

The previous prime is 3922663651. The next prime is 3922663721. The reversal of 3922663680 is 863662293.

3922663680 is a `hidden beast` number, since 3 + 9 + 2 + 2 + 6 + 636 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3922663680² = 30774580692782284800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 444915 + ... + 453645.

Almost surely, 2^3922663680 is an apocalyptic number.

3922663680 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 3922663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7496247360).

3922663680 is an abundant number, since it is smaller than the sum of its proper divisors (11069831040).

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

3922663680 is a wasteful number, since it uses less digits than its factorization.

3922663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8774 (or 8754 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3922663680 is about 62631.1717916885. The cubic root of 3922663680 is about 1577.1040903244.

The spelling of 3922663680 in words is "three billion, nine hundred twenty-two million, six hundred sixty-three thousand, six hundred eighty".