38177664336 has 320 divisors, whose sum is σ = 129991680000. Its totient is φ = 10496521728.

The previous prime is 38177664271. The next prime is 38177664341. The reversal of 38177664336 is 63346677183.

38177664336 is a `hidden beast` number, since 3 + 81 + 77 + 66 + 433 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 36744105 + ... + 36745143.

It is an arithmetic number, because the mean of its divisors is an integer number (406224000).

Almost surely, 2^38177664336 is an apocalyptic number.

38177664336 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 38177664336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64995840000).

38177664336 is an abundant number, since it is smaller than the sum of its proper divisors (91814015664).

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

38177664336 is a wasteful number, since it uses less digits than its factorization.

38177664336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1499 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 38177664336 in words is "thirty-eight billion, one hundred seventy-seven million, six hundred sixty-four thousand, three hundred thirty-six".