3388424832000 has 1408 divisors, whose sum is σ = 13750997944320. Its totient is φ = 817761484800.

The previous prime is 3388424831999. The next prime is 3388424832031. The reversal of 3388424832000 is 2384248833.

3388424832000 is a `hidden beast` number, since 3 + 3 + 8 + 84 + 248 + 320 + 0 + 0 = 666.

It is a super-2 number, since 2×3388424832000² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2381183289 + ... + 2381184711.

Almost surely, 2^{3388424832000} is an apocalyptic number.

3388424832000 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 3388424832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875498972160).

3388424832000 is an abundant number, since it is smaller than the sum of its proper divisors (10362573112320).

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

3388424832000 is a wasteful number, since it uses less digits than its factorization.

3388424832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3388424832000 in words is "three trillion, three hundred eighty-eight billion, four hundred twenty-four million, eight hundred thirty-two thousand".