3329255520000 has 2520 divisors, whose sum is σ = 13944648209184. Its totient is φ = 788299776000.

The previous prime is 3329255519981. The next prime is 3329255520131. The reversal of 3329255520000 is 255529233.

It is a super-2 number, since 2×3329255520000² (a number of 26 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 45606239964 + ... + 45606240036.

Almost surely, 2^{3329255520000} is an apocalyptic number.

3329255520000 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 3329255520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972324104592).

3329255520000 is an abundant number, since it is smaller than the sum of its proper divisors (10615392689184).

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

3329255520000 is an frugal number, since it uses more digits than its factorization.

3329255520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 3329255520000 in words is "three trillion, three hundred twenty-nine billion, two hundred fifty-five million, five hundred twenty thousand".