383874624 has 336 divisors, whose sum is σ = 1347216000. Its totient is φ = 104315904.

The previous prime is 383874611. The next prime is 383874641. The reversal of 383874624 is 426478383.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×383874624² = 294719453902282752, which contains 22 as substring.

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

Its product of digits (774144) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 383874624.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5729439 + ... + 5729505.

Almost surely, 2^383874624 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 383874624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673608000).

383874624 is an abundant number, since it is smaller than the sum of its proper divisors (963341376).

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

383874624 is a wasteful number, since it uses less digits than its factorization.

383874624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 383874624 is about 19592.7186474976. The cubic root of 383874624 is about 726.7691232055.

The spelling of 383874624 in words is "three hundred eighty-three million, eight hundred seventy-four thousand, six hundred twenty-four".