38883348646272 has 160 divisors (see below), whose sum is σ = 124617463296480. Its totient is φ = 11964107234304.

The previous prime is 38883348646253. The next prime is 38883348646273. The reversal of 38883348646272 is 27264684338883.

38883348646272 is a `hidden beast` number, since 3 + 8 + 8 + 8 + 3 + 348 + 6 + 4 + 6 + 272 = 666.

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 38883348646272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38883348646273) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 144108408 + ... + 144377975.

It is an arithmetic number, because the mean of its divisors is an integer number (778859145603).

Almost surely, 2^{38883348646272} is an apocalyptic number.

38883348646272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38883348646272 is an abundant number, since it is smaller than the sum of its proper divisors (85734114650208).

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

38883348646272 is a wasteful number, since it uses less digits than its factorization.

38883348646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288486422 (or 288486401 counting only the distinct ones).

The product of its digits is 1783627776, while the sum is 72.

The spelling of 38883348646272 in words is "thirty-eight trillion, eight hundred eighty-three billion, three hundred forty-eight million, six hundred forty-six thousand, two hundred seventy-two".