3338622604800 has 1440 divisors, whose sum is σ = 14670180096000. Its totient is φ = 722787287040.

The previous prime is 3338622604753. The next prime is 3338622604859. The reversal of 3338622604800 is 84062268333.

3338622604800 is a `hidden beast` number, since 3 + 3 + 38 + 6 + 2 + 2 + 604 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3338622604800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 750756177 + ... + 750760623.

Almost surely, 2^{3338622604800} is an apocalyptic number.

3338622604800 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 3338622604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335090048000).

3338622604800 is an abundant number, since it is smaller than the sum of its proper divisors (11331557491200).

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

3338622604800 is a wasteful number, since it uses less digits than its factorization.

3338622604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 3338622604800 in words is "three trillion, three hundred thirty-eight billion, six hundred twenty-two million, six hundred four thousand, eight hundred".