383964012 has 72 divisors (see below), whose sum is σ = 1005404400. Its totient is φ = 123477120.

The previous prime is 383963999. The next prime is 383964017. The reversal of 383964012 is 210469383.

383964012 is a `hidden beast` number, since 3 + 8 + 3 + 9 + 640 + 1 + 2 = 666.

It is a super-2 number, since 2×383964012² = 294856725022272288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (383964017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114739 + ... + 118037.

It is an arithmetic number, because the mean of its divisors is an integer number (13963950).

Almost surely, 2^383964012 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 383964012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502702200).

383964012 is an abundant number, since it is smaller than the sum of its proper divisors (621440388).

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

383964012 is a wasteful number, since it uses less digits than its factorization.

383964012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3423 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 383964012 is about 19594.9996682827. Note that the first 3 decimals coincide. The cubic root of 383964012 is about 726.8255299874.

The spelling of 383964012 in words is "three hundred eighty-three million, nine hundred sixty-four thousand, twelve".