3336121718400 has 1152 divisors, whose sum is σ = 12131454162240. Its totient is φ = 804918067200.

The previous prime is 3336121718399. The next prime is 3336121718401. The reversal of 3336121718400 is 48171216333.

It is an interprime number because it is at equal distance from previous prime (3336121718399) and next prime (3336121718401).

It is a super-2 number, since 2×3336121718400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3336121718401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7530748579 + ... + 7530749021.

Almost surely, 2^{3336121718400} is an apocalyptic number.

3336121718400 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 3336121718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065727081120).

3336121718400 is an abundant number, since it is smaller than the sum of its proper divisors (8795332443840).

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

3336121718400 is a wasteful number, since it uses less digits than its factorization.

3336121718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 3336121718400 in words is "three trillion, three hundred thirty-six billion, one hundred twenty-one million, seven hundred eighteen thousand, four hundred".