38432880 has 140 divisors (see below), whose sum is σ = 134176680. Its totient is φ = 10233216.

The previous prime is 38432851. The next prime is 38432881. The reversal of 38432880 is 8823483.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38432881) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 57991 + ... + 58649.

Almost surely, 2^38432880 is an apocalyptic number.

38432880 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 38432880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67088340).

38432880 is an abundant number, since it is smaller than the sum of its proper divisors (95743800).

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

38432880 is an equidigital number, since it uses as much as digits as its factorization.

38432880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38432880 is about 6199.4257798606. The cubic root of 38432880 is about 337.4693305464.

The spelling of 38432880 in words is "thirty-eight million, four hundred thirty-two thousand, eight hundred eighty".