336408403968 has 1512 divisors, whose sum is σ = 1332950369400. Its totient is φ = 81155063808.

The previous prime is 336408403967. The next prime is 336408403993. The reversal of 336408403968 is 869304804633.

It is a super-2 number, since 2×336408403968² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336408403967) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 11600289778 + ... + 11600289806.

Almost surely, 2^336408403968 is an apocalyptic number.

336408403968 is a gapful number since it is divisible by the number (38) 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 336408403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666475184700).

336408403968 is an abundant number, since it is smaller than the sum of its proper divisors (996541965432).

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

336408403968 is a wasteful number, since it uses less digits than its factorization.

336408403968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 336408403968 in words is "three hundred thirty-six billion, four hundred eight million, four hundred three thousand, nine hundred sixty-eight".