3349633368000 has 112 divisors (see below), whose sum is σ = 11060489460384. Its totient is φ = 893235558400.

The previous prime is 3349633367999. The next prime is 3349633368001. The reversal of 3349633368000 is 8633369433.

It is an interprime number because it is at equal distance from previous prime (3349633367999) and next prime (3349633368001).

It is a super-2 number, since 2×3349633368000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3349633368001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69760029 + ... + 69808028.

It is an arithmetic number, because the mean of its divisors is an integer number (98754370182).

Almost surely, 2^{3349633368000} is an apocalyptic number.

3349633368000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3349633368000 is an abundant number, since it is smaller than the sum of its proper divisors (7710856092384).

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

3349633368000 is a wasteful number, since it uses less digits than its factorization.

3349633368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139568087 (or 139568067 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 48.

The spelling of 3349633368000 in words is "three trillion, three hundred forty-nine billion, six hundred thirty-three million, three hundred sixty-eight thousand".