38452960 has 192 divisors, whose sum is σ = 118540800. Its totient is φ = 11446272.

The previous prime is 38452913. The next prime is 38452991. The reversal of 38452960 is 6925483.

38452960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276571 + ... + 276709.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 2^38452960 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 38452960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270400).

38452960 is an abundant number, since it is smaller than the sum of its proper divisors (80087840).

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

38452960 is a wasteful number, since it uses less digits than its factorization.

38452960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 38452960 is about 6201.0450732115. The cubic root of 38452960 is about 337.5280927690.

The spelling of 38452960 in words is "thirty-eight million, four hundred fifty-two thousand, nine hundred sixty".