38289600 has 126 divisors (see below), whose sum is σ = 136141460. Its totient is φ = 10206720.

The previous prime is 38289583. The next prime is 38289677. The reversal of 38289600 is 698283.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13071 + ... + 15729.

Almost surely, 2^38289600 is an apocalyptic number.

38289600 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 38289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68070730).

38289600 is an abundant number, since it is smaller than the sum of its proper divisors (97851860).

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

38289600 is a wasteful number, since it uses less digits than its factorization.

38289600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 38289600 is about 6187.8590804898. The cubic root of 38289600 is about 337.0494399255.

The spelling of 38289600 in words is "thirty-eight million, two hundred eighty-nine thousand, six hundred".