3301365431364 has 192 divisors, whose sum is σ = 10352790497280. Its totient is φ = 790766945280.

The previous prime is 3301365431339. The next prime is 3301365431407. The reversal of 3301365431364 is 4631345631033.

It is a happy number.

It is a super-2 number, since 2×3301365431364² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12275367 + ... + 12541425.

It is an arithmetic number, because the mean of its divisors is an integer number (53920783840).

Almost surely, 2^{3301365431364} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3301365431364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5176395248640).

3301365431364 is an abundant number, since it is smaller than the sum of its proper divisors (7051425065916).

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

3301365431364 is a wasteful number, since it uses less digits than its factorization.

3301365431364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267130 (or 267128 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 42.

The spelling of 3301365431364 in words is "three trillion, three hundred one billion, three hundred sixty-five million, four hundred thirty-one thousand, three hundred sixty-four".