38092070016 has 1152 divisors, whose sum is σ = 155764036800. Its totient is φ = 9132963840.

The previous prime is 38092069987. The next prime is 38092070021. The reversal of 38092070016 is 61007029083.

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.

38092070016 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 (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2930159226 + ... + 2930159238.

Almost surely, 2^38092070016 is an apocalyptic number.

38092070016 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 38092070016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77882018400).

38092070016 is an abundant number, since it is smaller than the sum of its proper divisors (117671966784).

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

38092070016 is a wasteful number, since it uses less digits than its factorization.

38092070016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 38092070016 its reverse (61007029083), we get a palindrome (99099099099).

The spelling of 38092070016 in words is "thirty-eight billion, ninety-two million, seventy thousand, sixteen".