336542976 has 324 divisors, whose sum is σ = 1235916864. Its totient is φ = 87091200.

The previous prime is 336542971. The next prime is 336542977. The reversal of 336542976 is 679245633.

336542976 is a `hidden beast` number, since 3 + 36 + 542 + 9 + 76 = 666.

It is a super-2 number, since 2×336542976² = 226522349389873152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336542971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1241721 + ... + 1241991.

Almost surely, 2^336542976 is an apocalyptic number.

336542976 is a gapful number since it is divisible by the number (36) 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 336542976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617958432).

336542976 is an abundant number, since it is smaller than the sum of its proper divisors (899373888).

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

336542976 is a wasteful number, since it uses less digits than its factorization.

336542976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 294 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 336542976 is about 18345.1076857019. The cubic root of 336542976 is about 695.5796113734.

The spelling of 336542976 in words is "three hundred thirty-six million, five hundred forty-two thousand, nine hundred seventy-six".