336428820 has 576 divisors, whose sum is σ = 1408942080. Its totient is φ = 62954496.

The previous prime is 336428791. The next prime is 336428831. The reversal of 336428820 is 28824633.

336428820 = 283² + 284² + ... + 1010².

336428820 is a `hidden beast` number, since 3 + 3 + 642 + 8 + 8 + 2 + 0 = 666.

It is a super-2 number, since 2×336428820² = 226368701853184800, 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 191 ways as a sum of consecutive naturals, for example, 7158037 + ... + 7158083.

It is an arithmetic number, because the mean of its divisors is an integer number (2446080).

Almost surely, 2^336428820 is an apocalyptic number.

336428820 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 336428820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704471040).

336428820 is an abundant number, since it is smaller than the sum of its proper divisors (1072513260).

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

336428820 is a wasteful number, since it uses less digits than its factorization.

336428820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 336428820 is about 18341.9960745825. The cubic root of 336428820 is about 695.5009551823.

The spelling of 336428820 in words is "three hundred thirty-six million, four hundred twenty-eight thousand, eight hundred twenty".