738396864 has 112 divisors (see below), whose sum is σ = 2229612000. Its totient is φ = 239459328.

The previous prime is 738396851. The next prime is 738396913. The reversal of 738396864 is 468693837.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 738396864.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58162 + ... + 69710.

It is an arithmetic number, because the mean of its divisors is an integer number (19907250).

Almost surely, 2^738396864 is an apocalyptic number.

738396864 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738396864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114806000).

738396864 is an abundant number, since it is smaller than the sum of its proper divisors (1491215136).

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

738396864 is a wasteful number, since it uses less digits than its factorization.

738396864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11607 (or 11591 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 738396864 is about 27173.4588155428. The cubic root of 738396864 is about 903.8505247938.

The spelling of 738396864 in words is "seven hundred thirty-eight million, three hundred ninety-six thousand, eight hundred sixty-four".