3393346560 has 176 divisors, whose sum is σ = 10924691616. Its totient is φ = 898957312.

The previous prime is 3393346513. The next prime is 3393346597. The reversal of 3393346560 is 656433933.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2656642 + ... + 2657918.

Almost surely, 2^3393346560 is an apocalyptic number.

3393346560 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 3393346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462345808).

3393346560 is an abundant number, since it is smaller than the sum of its proper divisors (7531345056).

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

3393346560 is a wasteful number, since it uses less digits than its factorization.

3393346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 42.

The square root of 3393346560 is about 58252.4382322320. The cubic root of 3393346560 is about 1502.7130986607.

The spelling of 3393346560 in words is "three billion, three hundred ninety-three million, three hundred forty-six thousand, five hundred sixty".