38177664 has 96 divisors (see below), whose sum is σ = 118024200. Its totient is φ = 10902528.

The previous prime is 38177663. The next prime is 38177687. The reversal of 38177664 is 46677183.

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 (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38177663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17802 + ... + 19830.

Almost surely, 2^38177664 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 38177664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59012100).

38177664 is an abundant number, since it is smaller than the sum of its proper divisors (79846536).

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

38177664 is a wasteful number, since it uses less digits than its factorization.

38177664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2041 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 38177664 is about 6178.8076519665. The cubic root of 38177664 is about 336.7206753642.

The spelling of 38177664 in words is "thirty-eight million, one hundred seventy-seven thousand, six hundred sixty-four".