38874000 has 320 divisors, whose sum is σ = 148561920. Its totient is φ = 8640000.

The previous prime is 38873999. The next prime is 38874041. The reversal of 38874000 is 47883.

It is a super-2 number, since 2×38874000² = 3022375752000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1253985 + ... + 1254015.

It is an arithmetic number, because the mean of its divisors is an integer number (464256).

Almost surely, 2^38874000 is an apocalyptic number.

38874000 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 38874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74280960).

38874000 is an abundant number, since it is smaller than the sum of its proper divisors (109687920).

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

38874000 is a wasteful number, since it uses less digits than its factorization.

38874000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 38874000 is about 6234.9017634603. The cubic root of 38874000 is about 338.7555429075.

It can be divided in two parts, 3887 and 4000, that added together give a palindrome (7887).

The spelling of 38874000 in words is "thirty-eight million, eight hundred seventy-four thousand".