391993344 has 240 divisors, whose sum is σ = 1248647400. Its totient is φ = 122093568.

The previous prime is 391993337. The next prime is 391993363. The reversal of 391993344 is 443399193.

It is a super-4 number, since 4×391993344⁴ (a number of 35 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 391993344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2820027 + ... + 2820165.

Almost surely, 2^391993344 is an apocalyptic number.

391993344 is a gapful number since it is divisible by the number (34) 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 391993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624323700).

391993344 is an abundant number, since it is smaller than the sum of its proper divisors (856654056).

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

391993344 is a wasteful number, since it uses less digits than its factorization.

391993344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 161 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 391993344 is about 19798.8217831264. The cubic root of 391993344 is about 731.8569997467.

The spelling of 391993344 in words is "three hundred ninety-one million, nine hundred ninety-three thousand, three hundred forty-four".