3922613952264 has 768 divisors, whose sum is σ = 13857951744000. Its totient is φ = 1013666918400.

The previous prime is 3922613952263. The next prime is 3922613952287. The reversal of 3922613952264 is 4622593162293.

It is a happy number.

3922613952264 is a `hidden beast` number, since 3 + 9 + 2 + 26 + 1 + 39 + 522 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3922613952264.

It is not an unprimeable number, because it can be changed into a prime (3922613952263) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1068539149 + ... + 1068542819.

It is an arithmetic number, because the mean of its divisors is an integer number (18044208000).

Almost surely, 2^{3922613952264} is an apocalyptic number.

3922613952264 is a gapful number since it is divisible by the number (34) 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 3922613952264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928975872000).

3922613952264 is an abundant number, since it is smaller than the sum of its proper divisors (9935337791736).

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

3922613952264 is a wasteful number, since it uses less digits than its factorization.

3922613952264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3880 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 3922613952264 in words is "three trillion, nine hundred twenty-two billion, six hundred thirteen million, nine hundred fifty-two thousand, two hundred sixty-four".