38472320 has 64 divisors (see below), whose sum is σ = 94003200. Its totient is φ = 15049728.

The previous prime is 38472311. The next prime is 38472331. The reversal of 38472320 is 2327483.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29441 + ... + 30719.

It is an arithmetic number, because the mean of its divisors is an integer number (1468800).

Almost surely, 2^38472320 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 38472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47001600).

38472320 is an abundant number, since it is smaller than the sum of its proper divisors (55530880).

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

38472320 is a wasteful number, since it uses less digits than its factorization.

38472320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 38472320 is about 6202.6059039729. The cubic root of 38472320 is about 337.5847286130.

The spelling of 38472320 in words is "thirty-eight million, four hundred seventy-two thousand, three hundred twenty".