3399953356800 has 4536 divisors, whose sum is σ = 17367725777220. Its totient is φ = 652138905600.

The previous prime is 3399953356771. The next prime is 3399953356843. The reversal of 3399953356800 is 86533599933.

3399953356800 is a `hidden beast` number, since 3 + 3 + 9 + 99 + 533 + 5 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 377 ways as a sum of consecutive naturals, for example, 261534873594 + ... + 261534873606.

Almost surely, 2^{3399953356800} is an apocalyptic number.

3399953356800 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 3399953356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8683862888610).

3399953356800 is an abundant number, since it is smaller than the sum of its proper divisors (13967772420420).

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

3399953356800 is a wasteful number, since it uses less digits than its factorization.

3399953356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 70858800, while the sum is 63.

The spelling of 3399953356800 in words is "three trillion, three hundred ninety-nine billion, nine hundred fifty-three million, three hundred fifty-six thousand, eight hundred".