3390343467264 has 432 divisors, whose sum is σ = 11106090515520. Its totient is φ = 986058178560.

The previous prime is 3390343467257. The next prime is 3390343467281. The reversal of 3390343467264 is 4627643430933.

3390343467264 is a `hidden beast` number, since 3 + 3 + 9 + 0 + 34 + 346 + 7 + 264 = 666.

It is a super-2 number, since 2×3390343467264² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3390343467264.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262343107 + ... + 262356029.

It is an arithmetic number, because the mean of its divisors is an integer number (25708542860).

Almost surely, 2^{3390343467264} 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 3390343467264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553045257760).

3390343467264 is an abundant number, since it is smaller than the sum of its proper divisors (7715747048256).

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

3390343467264 is a wasteful number, since it uses less digits than its factorization.

3390343467264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13438 (or 13421 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 54.

The spelling of 3390343467264 in words is "three trillion, three hundred ninety billion, three hundred forty-three million, four hundred sixty-seven thousand, two hundred sixty-four".