38652600 has 96 divisors (see below), whose sum is σ = 136955520. Its totient is φ = 8833920.

The previous prime is 38652557. The next prime is 38652623. The reversal of 38652600 is 625683.

38652600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402 + ... + 8801.

It is an arithmetic number, because the mean of its divisors is an integer number (1426620).

Almost surely, 2^38652600 is an apocalyptic number.

38652600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38652600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68477760).

38652600 is an abundant number, since it is smaller than the sum of its proper divisors (98302920).

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

38652600 is a wasteful number, since it uses less digits than its factorization.

38652600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9229 (or 9220 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 38652600 is about 6217.1215204466. The cubic root of 38652600 is about 338.1112106767. Note that the first 3 decimals are identical.

The spelling of 38652600 in words is "thirty-eight million, six hundred fifty-two thousand, six hundred".