38254800 has 120 divisors (see below), whose sum is σ = 124545600. Its totient is φ = 10035200.

The previous prime is 38254787. The next prime is 38254807. The reversal of 38254800 is 845283.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38254807) 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, 84976 + ... + 85424.

It is an arithmetic number, because the mean of its divisors is an integer number (1037880).

Almost surely, 2^38254800 is an apocalyptic number.

38254800 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 38254800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62272800).

38254800 is an abundant number, since it is smaller than the sum of its proper divisors (86290800).

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

38254800 is a wasteful number, since it uses less digits than its factorization.

38254800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 38254800 is about 6185.0464832530. The cubic root of 38254800 is about 336.9472983887.

The spelling of 38254800 in words is "thirty-eight million, two hundred fifty-four thousand, eight hundred".