336125952 has 168 divisors, whose sum is σ = 1001853216. Its totient is φ = 108527616.

The previous prime is 336125929. The next prime is 336125981. The reversal of 336125952 is 259521633.

336125952 is a `hidden beast` number, since 3 + 3 + 61 + 2 + 595 + 2 = 666.

336125952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×336125952² = 225961311215812608, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3465168 + ... + 3465264.

It is an arithmetic number, because the mean of its divisors is an integer number (5963412).

Almost surely, 2^336125952 is an apocalyptic number.

336125952 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 336125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500926608).

336125952 is an abundant number, since it is smaller than the sum of its proper divisors (665727264).

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

336125952 is an equidigital number, since it uses as much as digits as its factorization.

336125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 336125952 is about 18333.7380803807. The cubic root of 336125952 is about 695.2921856863.

The spelling of 336125952 in words is "three hundred thirty-six million, one hundred twenty-five thousand, nine hundred fifty-two".