38772000 has 192 divisors, whose sum is σ = 141523200. Its totient is φ = 10310400.

The previous prime is 38771987. The next prime is 38772011. The reversal of 38772000 is 27783.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107821 + ... + 108179.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 2^38772000 is an apocalyptic number.

38772000 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 38772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

38772000 is an abundant number, since it is smaller than the sum of its proper divisors (102751200).

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

38772000 is a wasteful number, since it uses less digits than its factorization.

38772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 38772000 is about 6226.7166307774. The cubic root of 38772000 is about 338.4590008286.

Adding to 38772000 its reverse (27783), we get a palindrome (38799783).

The spelling of 38772000 in words is "thirty-eight million, seven hundred seventy-two thousand".