3361597344 has 432 divisors, whose sum is σ = 11982297600. Its totient is φ = 874644480.

The previous prime is 3361597303. The next prime is 3361597409. The reversal of 3361597344 is 4437951633.

3361597344 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3361597344² = 22600673406375708672, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3361597344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22560982 + ... + 22561130.

It is an arithmetic number, because the mean of its divisors is an integer number (27736800).

Almost surely, 2^3361597344 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 3361597344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5991148800).

3361597344 is an abundant number, since it is smaller than the sum of its proper divisors (8620700256).

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

3361597344 is a wasteful number, since it uses less digits than its factorization.

3361597344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The square root of 3361597344 is about 57979.2837485942. The cubic root of 3361597344 is about 1498.0117871709.

The spelling of 3361597344 in words is "three billion, three hundred sixty-one million, five hundred ninety-seven thousand, three hundred forty-four".