38346258816 has 96 divisors (see below), whose sum is σ = 113208708600. Its totient is φ = 12778248960.

The previous prime is 38346258791. The next prime is 38346258833. The reversal of 38346258816 is 61885264383.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

38346258816 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 625 + 8 + 8 + 1 + 6 = 666.

38346258816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11510271 + ... + 11513601.

Almost surely, 2^38346258816 is an apocalyptic number.

38346258816 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 38346258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56604354300).

38346258816 is an abundant number, since it is smaller than the sum of its proper divisors (74862449784).

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

38346258816 is an frugal number, since it uses more digits than its factorization.

38346258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 3336 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

Multiplying 38346258816 by its sum of digits (54), we get a square (2070697976064 = 1438992²).

38346258816 divided by its sum of digits (54) gives a square (710115904 = 26648²).

The spelling of 38346258816 in words is "thirty-eight billion, three hundred forty-six million, two hundred fifty-eight thousand, eight hundred sixteen".