3233913984000 has 1232 divisors, whose sum is σ = 13827167567616. Its totient is φ = 739031040000.

The previous prime is 3233913983981. The next prime is 3233913984011. The reversal of 3233913984000 is 4893193323.

3233913984000 is a `hidden beast` number, since 3 + 233 + 9 + 1 + 3 + 9 + 8 + 400 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 653181525 + ... + 653186475.

Almost surely, 2^{3233913984000} is an apocalyptic number.

3233913984000 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 3233913984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913583783808).

3233913984000 is an abundant number, since it is smaller than the sum of its proper divisors (10593253583616).

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

3233913984000 is an frugal number, since it uses more digits than its factorization.

3233913984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5011 (or 4968 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 3233913984000 in words is "three trillion, two hundred thirty-three billion, nine hundred thirteen million, nine hundred eighty-four thousand".