38955600 has 120 divisors (see below), whose sum is σ = 138691520. Its totient is φ = 10385280.

The previous prime is 38955593. The next prime is 38955607. The reversal of 38955600 is 655983.

38955600 is a `hidden beast` number, since 3 + 8 + 95 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38955593) and next prime (38955607).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38955607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8997 + ... + 12603.

Almost surely, 2^38955600 is an apocalyptic number.

38955600 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 38955600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69345760).

38955600 is an abundant number, since it is smaller than the sum of its proper divisors (99735920).

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

38955600 is a wasteful number, since it uses less digits than its factorization.

38955600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3634 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 38955600 is about 6241.4421410440. The cubic root of 38955600 is about 338.9924033069.

The spelling of 38955600 in words is "thirty-eight million, nine hundred fifty-five thousand, six hundred".