38374560 has 336 divisors, whose sum is σ = 158651136. Its totient is φ = 8584704.

The previous prime is 38374549. The next prime is 38374573. The reversal of 38374560 is 6547383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 816457 + ... + 816503.

It is an arithmetic number, because the mean of its divisors is an integer number (472176).

Almost surely, 2^38374560 is an apocalyptic number.

38374560 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 38374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79325568).

38374560 is an abundant number, since it is smaller than the sum of its proper divisors (120276576).

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

38374560 is an equidigital number, since it uses as much as digits as its factorization.

38374560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 38374560 is about 6194.7203326704. The cubic root of 38374560 is about 337.2985464431.

The spelling of 38374560 in words is "thirty-eight million, three hundred seventy-four thousand, five hundred sixty".