38052880 has 40 divisors (see below), whose sum is σ = 89172864. Its totient is φ = 15100800.

The previous prime is 38052869. The next prime is 38052899. The reversal of 38052880 is 8825083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8665 + ... + 12295.

Almost surely, 2^38052880 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 38052880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44586432).

38052880 is an abundant number, since it is smaller than the sum of its proper divisors (51119984).

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

38052880 is a wasteful number, since it uses less digits than its factorization.

38052880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 38052880 is about 6168.7016462137. The cubic root of 38052880 is about 336.3534168708.

The spelling of 38052880 in words is "thirty-eight million, fifty-two thousand, eight hundred eighty".