336396672 has 256 divisors, whose sum is σ = 1077120000. Its totient is φ = 103016448.

The previous prime is 336396631. The next prime is 336396673. The reversal of 336396672 is 276693633.

336396672 is a `hidden beast` number, since 3 + 3 + 639 + 6 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×336396672² = 226325441865351168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336396673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3086154 + ... + 3086262.

It is an arithmetic number, because the mean of its divisors is an integer number (4207500).

Almost surely, 2^336396672 is an apocalyptic number.

336396672 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 336396672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538560000).

336396672 is an abundant number, since it is smaller than the sum of its proper divisors (740723328).

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

336396672 is a wasteful number, since it uses less digits than its factorization.

336396672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its digits is 734832, while the sum is 45.

The square root of 336396672 is about 18341.1197040966. The cubic root of 336396672 is about 695.4788012371.

The spelling of 336396672 in words is "three hundred thirty-six million, three hundred ninety-six thousand, six hundred seventy-two".