38694801456 has 120 divisors (see below), whose sum is σ = 115404756480. Its totient is φ = 12074924928.

The previous prime is 38694801451. The next prime is 38694801469. The reversal of 38694801456 is 65410849683.

It is not an unprimeable number, because it can be changed into a prime (38694801451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31375 + ... + 279953.

It is an arithmetic number, because the mean of its divisors is an integer number (961706304).

Almost surely, 2^38694801456 is an apocalyptic number.

38694801456 is a gapful number since it is divisible by the number (36) 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 38694801456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57702378240).

38694801456 is an abundant number, since it is smaller than the sum of its proper divisors (76709955024).

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

38694801456 is a wasteful number, since it uses less digits than its factorization.

38694801456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248663 (or 248654 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 38694801456 in words is "thirty-eight billion, six hundred ninety-four million, eight hundred one thousand, four hundred fifty-six".