38077446440 has 96 divisors (see below), whose sum is σ = 94238038440. Its totient is φ = 13836472320.

The previous prime is 38077446389. The next prime is 38077446467. The reversal of 38077446440 is 4464477083.

It can be written as a sum of positive squares in 4 ways, for example, as 21980434564 + 16097011876 = 148258^2 + 126874^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13439264 + ... + 13442096.

Almost surely, 2^38077446440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38077446440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47119019220).

38077446440 is an abundant number, since it is smaller than the sum of its proper divisors (56160592000).

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

38077446440 is a wasteful number, since it uses less digits than its factorization.

38077446440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5643 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 47.

The spelling of 38077446440 in words is "thirty-eight billion, seventy-seven million, four hundred forty-six thousand, four hundred forty".