38621600 has 72 divisors (see below), whose sum is σ = 98431200. Its totient is φ = 14769920.

The previous prime is 38621587. The next prime is 38621641. The reversal of 38621600 is 612683.

It is a self number, because there is not a number n which added to its sum of digits gives 38621600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17351 + ... + 19449.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 2^38621600 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 38621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49215600).

38621600 is an abundant number, since it is smaller than the sum of its proper divisors (59809600).

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

38621600 is a wasteful number, since it uses less digits than its factorization.

38621600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 38621600 is about 6214.6279051927. The cubic root of 38621600 is about 338.0207963115.

The spelling of 38621600 in words is "thirty-eight million, six hundred twenty-one thousand, six hundred".