336398469120 has 1728 divisors, whose sum is σ = 1468161676800. Its totient is φ = 73574645760.

The previous prime is 336398469109. The next prime is 336398469161. The reversal of 336398469120 is 21964893633.

336398469120 is a `hidden beast` number, since 33 + 63 + 98 + 469 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×336398469120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3779758036 + ... + 3779758124.

It is an arithmetic number, because the mean of its divisors is an integer number (849630600).

Almost surely, 2^336398469120 is an apocalyptic number.

336398469120 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 336398469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734080838400).

336398469120 is an abundant number, since it is smaller than the sum of its proper divisors (1131763207680).

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

336398469120 is an equidigital number, since it uses as much as digits as its factorization.

336398469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 336398469120 in words is "three hundred thirty-six billion, three hundred ninety-eight million, four hundred sixty-nine thousand, one hundred twenty".