38446720 has 64 divisors (see below), whose sum is σ = 99003240. Its totient is φ = 14192640.

The previous prime is 38446699. The next prime is 38446801. The reversal of 38446720 is 2764483.

It can be written as a sum of positive squares in 4 ways, for example, as 21603904 + 16842816 = 4648^2 + 4104^2 .

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, 6010 + ... + 10630.

Almost surely, 2^38446720 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 38446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49501620).

38446720 is an abundant number, since it is smaller than the sum of its proper divisors (60556520).

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

38446720 is a wasteful number, since it uses less digits than its factorization.

38446720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 38446720 is about 6200.5419118009. The cubic root of 38446720 is about 337.5098341899.

The spelling of 38446720 in words is "thirty-eight million, four hundred forty-six thousand, seven hundred twenty".