3213975628800 has 1056 divisors, whose sum is σ = 12237352473600. Its totient is φ = 826080952320.

The previous prime is 3213975628783. The next prime is 3213975628807. The reversal of 3213975628800 is 88265793123.

3213975628800 is a `hidden beast` number, since 3 + 2 + 1 + 3 + 9 + 7 + 5 + 628 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×3213975628800³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3213975628807) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2161381657 + ... + 2161383143.

Almost surely, 2^{3213975628800} is an apocalyptic number.

3213975628800 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 3213975628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6118676236800).

3213975628800 is an abundant number, since it is smaller than the sum of its proper divisors (9023376844800).

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

3213975628800 is a wasteful number, since it uses less digits than its factorization.

3213975628800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3213975628800 in words is "three trillion, two hundred thirteen billion, nine hundred seventy-five million, six hundred twenty-eight thousand, eight hundred".