38646400 has 96 divisors (see below), whose sum is σ = 102923100. Its totient is φ = 14254080.

The previous prime is 38646383. The next prime is 38646401. The reversal of 38646400 is 464683.

It can be written as a sum of positive squares in 6 ways, for example, as 602176 + 38044224 = 776^2 + 6168^2 .

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38646401) 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, 41136 + ... + 42064.

Almost surely, 2^38646400 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 38646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51461550).

38646400 is an abundant number, since it is smaller than the sum of its proper divisors (64276700).

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

38646400 is a wasteful number, since it uses less digits than its factorization.

38646400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 38646400 is about 6216.6228774150. The cubic root of 38646400 is about 338.0931316721.

The spelling of 38646400 in words is "thirty-eight million, six hundred forty-six thousand, four hundred".