396012672 has 192 divisors, whose sum is σ = 1286056800. Its totient is φ = 119877120.

The previous prime is 396012667. The next prime is 396012733. The reversal of 396012672 is 276210693.

396012672 is a `hidden beast` number, since 396 + 0 + 1 + 267 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

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 23 ways as a sum of consecutive naturals, for example, 417703 + ... + 418649.

Almost surely, 2^396012672 is an apocalyptic number.

396012672 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 396012672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643028400).

396012672 is an abundant number, since it is smaller than the sum of its proper divisors (890044128).

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

396012672 is a wasteful number, since it uses less digits than its factorization.

396012672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 396012672 is about 19900.0671355651. The cubic root of 396012672 is about 734.3498791033.

The spelling of 396012672 in words is "three hundred ninety-six million, twelve thousand, six hundred seventy-two".