336498988320 has 576 divisors, whose sum is σ = 1276711922304. Its totient is φ = 80022159360.

The previous prime is 336498988249. The next prime is 336498988327. The reversal of 336498988320 is 23889894633.

336498988320 is a `hidden beast` number, since 3 + 36 + 498 + 9 + 88 + 32 + 0 = 666.

It is a super-2 number, since 2×336498988320² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336498988327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332180134 + ... + 332181146.

It is an arithmetic number, because the mean of its divisors is an integer number (2216513754).

Almost surely, 2^336498988320 is an apocalyptic number.

336498988320 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 336498988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638355961152).

336498988320 is an abundant number, since it is smaller than the sum of its proper divisors (940212933984).

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

336498988320 is a wasteful number, since it uses less digits than its factorization.

336498988320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 336498988320 in words is "three hundred thirty-six billion, four hundred ninety-eight million, nine hundred eighty-eight thousand, three hundred twenty".