38645152 has 96 divisors (see below), whose sum is σ = 97880832. Its totient is φ = 14598144.

The previous prime is 38645149. The next prime is 38645207. The reversal of 38645152 is 25154683.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66688 + ... + 67264.

It is an arithmetic number, because the mean of its divisors is an integer number (1019592).

Almost surely, 2^38645152 is an apocalyptic number.

38645152 is a gapful number since it is divisible by the number (32) 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 38645152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48940416).

38645152 is an abundant number, since it is smaller than the sum of its proper divisors (59235680).

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

38645152 is a wasteful number, since it uses less digits than its factorization.

38645152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 622 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 38645152 is about 6216.5225005625. The cubic root of 38645152 is about 338.0894923097.

The spelling of 38645152 in words is "thirty-eight million, six hundred forty-five thousand, one hundred fifty-two".