38680032 has 96 divisors (see below), whose sum is σ = 108918432. Its totient is φ = 11976704.

The previous prime is 38680021. The next prime is 38680073. The reversal of 38680032 is 23008683.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38680032² = 2992289751042048, which contains 22 as substring.

It is a congruent number.

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, 223498 + ... + 223670.

It is an arithmetic number, because the mean of its divisors is an integer number (1134567).

Almost surely, 2^38680032 is an apocalyptic number.

38680032 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 38680032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54459216).

38680032 is an abundant number, since it is smaller than the sum of its proper divisors (70238400).

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

38680032 is a wasteful number, since it uses less digits than its factorization.

38680032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38680032 is about 6219.3272948125. The cubic root of 38680032 is about 338.1911783323.

The spelling of 38680032 in words is "thirty-eight million, six hundred eighty thousand, thirty-two".