38014686720 has 480 divisors, whose sum is σ = 139228401312. Its totient is φ = 9937354752.

The previous prime is 38014686713. The next prime is 38014686751. The reversal of 38014686720 is 2768641083.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32969664 + ... + 32970816.

Almost surely, 2^38014686720 is an apocalyptic number.

38014686720 is a gapful number since it is divisible by the number (30) 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 38014686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69614200656).

38014686720 is an abundant number, since it is smaller than the sum of its proper divisors (101213714592).

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

38014686720 is an equidigital number, since it uses as much as digits as its factorization.

38014686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 38014686720 in words is "thirty-eight billion, fourteen million, six hundred eighty-six thousand, seven hundred twenty".