38522546076672 has 792 divisors, whose sum is σ = 136591970196240. Its totient is φ = 10426316931072.

The previous prime is 38522546076643. The next prime is 38522546076727. The reversal of 38522546076672 is 27667064522583.

38522546076672 is a `hidden beast` number, since 3 + 8 + 5 + 22 + 546 + 0 + 7 + 6 + 67 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3097408438 + ... + 3097420874.

Almost surely, 2^{38522546076672} is an apocalyptic number.

38522546076672 is a gapful number since it is divisible by the number (32) 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 38522546076672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68295985098120).

38522546076672 is an abundant number, since it is smaller than the sum of its proper divisors (98069424119568).

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

38522546076672 is a wasteful number, since it uses less digits than its factorization.

38522546076672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12534 (or 12468 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 38522546076672 in words is "thirty-eight trillion, five hundred twenty-two billion, five hundred forty-six million, seventy-six thousand, six hundred seventy-two".