38078720 has 72 divisors (see below), whose sum is σ = 92715840. Its totient is φ = 14981120.

The previous prime is 38078683. The next prime is 38078737. The reversal of 38078720 is 2787083.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90671 + ... + 91089.

It is an arithmetic number, because the mean of its divisors is an integer number (1287720).

Almost surely, 2^38078720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38078720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46357920).

38078720 is an abundant number, since it is smaller than the sum of its proper divisors (54637120).

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

38078720 is an equidigital number, since it uses as much as digits as its factorization.

38078720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 38078720 is about 6170.7957347493. The cubic root of 38078720 is about 336.4295338054.

The spelling of 38078720 in words is "thirty-eight million, seventy-eight thousand, seven hundred twenty".