38881114752 has 64 divisors (see below), whose sum is σ = 105796978560. Its totient is φ = 12644259840.

The previous prime is 38881114751. The next prime is 38881114757. The reversal of 38881114752 is 25741118883.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×38881114752⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (38881114751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1219048 + ... + 1250535.

It is an arithmetic number, because the mean of its divisors is an integer number (1653077790).

Almost surely, 2^38881114752 is an apocalyptic number.

38881114752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38881114752 is an abundant number, since it is smaller than the sum of its proper divisors (66915863808).

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

38881114752 is a wasteful number, since it uses less digits than its factorization.

38881114752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469641 (or 2469629 counting only the distinct ones).

The product of its digits is 430080, while the sum is 48.

The spelling of 38881114752 in words is "thirty-eight billion, eight hundred eighty-one million, one hundred fourteen thousand, seven hundred fifty-two".