38752640 has 64 divisors (see below), whose sum is σ = 93489120. Its totient is φ = 15360000.

The previous prime is 38752633. The next prime is 38752669. The reversal of 38752640 is 4625783.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38752640.

It is a congruent number.

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, 96440 + ... + 96840.

Almost surely, 2^38752640 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 38752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46744560).

38752640 is an abundant number, since it is smaller than the sum of its proper divisors (54736480).

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

38752640 is a wasteful number, since it uses less digits than its factorization.

38752640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 38752640 is about 6225.1618452856. The cubic root of 38752640 is about 338.4026572715.

The spelling of 38752640 in words is "thirty-eight million, seven hundred fifty-two thousand, six hundred forty".