3327521472000 has 1920 divisors, whose sum is σ = 13852381390848. Its totient is φ = 789295104000.

The previous prime is 3327521471993. The next prime is 3327521472047. The reversal of 3327521472000 is 2741257233.

3327521472000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3327521472000² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9066815817 + ... + 9066816183.

Almost surely, 2^{3327521472000} is an apocalyptic number.

3327521472000 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 3327521472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926190695424).

3327521472000 is an abundant number, since it is smaller than the sum of its proper divisors (10524859918848).

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

3327521472000 is an equidigital number, since it uses as much as digits as its factorization.

3327521472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 3327521472000 in words is "three trillion, three hundred twenty-seven billion, five hundred twenty-one million, four hundred seventy-two thousand".