383537952 has 432 divisors, whose sum is σ = 1437875712. Its totient is φ = 94556160.

The previous prime is 383537929. The next prime is 383538007. The reversal of 383537952 is 259735383.

It is a junction number, because it is equal to n+sod(n) for n = 383537898 and 383537907.

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 71 ways as a sum of consecutive naturals, for example, 12372177 + ... + 12372207.

It is an arithmetic number, because the mean of its divisors is an integer number (3328416).

Almost surely, 2^383537952 is an apocalyptic number.

383537952 is a gapful number since it is divisible by the number (32) 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 383537952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718937856).

383537952 is an abundant number, since it is smaller than the sum of its proper divisors (1054337760).

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

383537952 is a wasteful number, since it uses less digits than its factorization.

383537952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 79 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 383537952 is about 19584.1249996011. The cubic root of 383537952 is about 726.5565934143.

The spelling of 383537952 in words is "three hundred eighty-three million, five hundred thirty-seven thousand, nine hundred fifty-two".