38568000 has 112 divisors (see below), whose sum is σ = 127430784. Its totient is φ = 10278400.

The previous prime is 38567989. The next prime is 38568001. The reversal of 38568000 is 86583.

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

It is not an unprimeable number, because it can be changed into a prime (38568001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23197 + ... + 24803.

Almost surely, 2^38568000 is an apocalyptic number.

38568000 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 38568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63715392).

38568000 is an abundant number, since it is smaller than the sum of its proper divisors (88862784).

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

38568000 is a wasteful number, since it uses less digits than its factorization.

38568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 38568000 is about 6210.3140017233. The cubic root of 38568000 is about 337.8643527442.

The spelling of 38568000 in words is "thirty-eight million, five hundred sixty-eight thousand".