38081378664 has 256 divisors, whose sum is σ = 123770880000. Its totient is φ = 10623944448.

The previous prime is 38081378659. The next prime is 38081378707. The reversal of 38081378664 is 46687318083.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38081378664.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14004297 + ... + 14007015.

It is an arithmetic number, because the mean of its divisors is an integer number (483480000).

Almost surely, 2^38081378664 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 38081378664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61885440000).

38081378664 is an abundant number, since it is smaller than the sum of its proper divisors (85689501336).

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

38081378664 is a wasteful number, since it uses less digits than its factorization.

38081378664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2947 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 38081378664 in words is "thirty-eight billion, eighty-one million, three hundred seventy-eight thousand, six hundred sixty-four".