38704640 has 80 divisors (see below), whose sum is σ = 100024848. Its totient is φ = 14278656.

The previous prime is 38704639. The next prime is 38704651. The reversal of 38704640 is 4640783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 38704597 and 38704606.

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, 32699 + ... + 33861.

Almost surely, 2^38704640 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 38704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50012424).

38704640 is an abundant number, since it is smaller than the sum of its proper divisors (61320208).

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

38704640 is a wasteful number, since it uses less digits than its factorization.

38704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 38704640 is about 6221.3053292697. The cubic root of 38704640 is about 338.2628815157.

The spelling of 38704640 in words is "thirty-eight million, seven hundred four thousand, six hundred forty".