38604800 has 156 divisors (see below), whose sum is σ = 106646820. Its totient is φ = 13762560.

The previous prime is 38604781. The next prime is 38604803. The reversal of 38604800 is 840683.

It can be written as a sum of positive squares in 6 ways, for example, as 3936256 + 34668544 = 1984^2 + 5888^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (38604803) 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, 1331186 + ... + 1331214.

Almost surely, 2^38604800 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 38604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53323410).

38604800 is an abundant number, since it is smaller than the sum of its proper divisors (68042020).

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

38604800 is a wasteful number, since it uses less digits than its factorization.

38604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 38604800 is about 6213.2761084632. The cubic root of 38604800 is about 337.9717773431.

The spelling of 38604800 in words is "thirty-eight million, six hundred four thousand, eight hundred".