38351664 has 80 divisors (see below), whose sum is σ = 118568800. Its totient is φ = 11798784.

The previous prime is 38351653. The next prime is 38351683. The reversal of 38351664 is 46615383.

38351664 is a `hidden beast` number, since 3 + 83 + 516 + 64 = 666.

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 15 ways as a sum of consecutive naturals, for example, 2202 + ... + 9030.

It is an arithmetic number, because the mean of its divisors is an integer number (1482110).

Almost surely, 2^38351664 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 38351664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59284400).

38351664 is an abundant number, since it is smaller than the sum of its proper divisors (80217136).

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

38351664 is a wasteful number, since it uses less digits than its factorization.

38351664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6859 (or 6847 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 38351664 is about 6192.8720316183. The cubic root of 38351664 is about 337.2314505689.

The spelling of 38351664 in words is "thirty-eight million, three hundred fifty-one thousand, six hundred sixty-four".