336132420 has 192 divisors, whose sum is σ = 1097537280. Its totient is φ = 76142592.

The previous prime is 336132409. The next prime is 336132427. The reversal of 336132420 is 24231633.

It is a super-2 number, since 2×336132420² = 225970007550112800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336132427) 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 63 ways as a sum of consecutive naturals, for example, 548034 + ... + 548646.

It is an arithmetic number, because the mean of its divisors is an integer number (5716340).

Almost surely, 2^336132420 is an apocalyptic number.

336132420 is a gapful number since it is divisible by the number (30) 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 336132420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548768640).

336132420 is an abundant number, since it is smaller than the sum of its proper divisors (761404860).

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

336132420 is a wasteful number, since it uses less digits than its factorization.

336132420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 336132420 is about 18333.9144756378. The cubic root of 336132420 is about 695.2966454442.

The spelling of 336132420 in words is "three hundred thirty-six million, one hundred thirty-two thousand, four hundred twenty".