38398089526272 has 264 divisors, whose sum is σ = 132282538675920. Its totient is φ = 10970882334720.

The previous prime is 38398089526259. The next prime is 38398089526333. The reversal of 38398089526272 is 27262598089383.

38398089526272 is a `hidden beast` number, since 3 + 8 + 3 + 98 + 0 + 8 + 9 + 526 + 2 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 38398089526272.

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, 12816879 + ... + 15526382.

Almost surely, 2^{38398089526272} is an apocalyptic number.

38398089526272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38398089526272 is an abundant number, since it is smaller than the sum of its proper divisors (93884449149648).

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

38398089526272 is a wasteful number, since it uses less digits than its factorization.

38398089526272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28343304 (or 28343273 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 38398089526272 in words is "thirty-eight trillion, three hundred ninety-eight billion, eighty-nine million, five hundred twenty-six thousand, two hundred seventy-two".