336398400 has 336 divisors, whose sum is σ = 1322832000. Its totient is φ = 82667520.

The previous prime is 336398393. The next prime is 336398407. The reversal of 336398400 is 4893633.

It is an interprime number because it is at equal distance from previous prime (336398393) and next prime (336398407).

It is a super-2 number, since 2×336398400² = 226327767045120000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (336398407) 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 47 ways as a sum of consecutive naturals, for example, 561301 + ... + 561899.

It is an arithmetic number, because the mean of its divisors is an integer number (3937000).

Almost surely, 2^336398400 is an apocalyptic number.

336398400 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 336398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661416000).

336398400 is an abundant number, since it is smaller than the sum of its proper divisors (986433600).

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

336398400 is a wasteful number, since it uses less digits than its factorization.

336398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 336398400 is about 18341.1668113018. The cubic root of 336398400 is about 695.4799920786.

The spelling of 336398400 in words is "three hundred thirty-six million, three hundred ninety-eight thousand, four hundred".