3331980288000 has 2688 divisors, whose sum is σ = 15405640024320. Its totient is φ = 673814937600.

The previous prime is 3331980287957. The next prime is 3331980288019. The reversal of 3331980288000 is 8820891333.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×3331980288000² (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 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, 24321023932 + ... + 24321024068.

It is an arithmetic number, because the mean of its divisors is an integer number (5731264890).

Almost surely, 2^{3331980288000} is an apocalyptic number.

3331980288000 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 3331980288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702820012160).

3331980288000 is an abundant number, since it is smaller than the sum of its proper divisors (12073659736320).

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

3331980288000 is a wasteful number, since it uses less digits than its factorization.

3331980288000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 3331980288000 in words is "three trillion, three hundred thirty-one billion, nine hundred eighty million, two hundred eighty-eight thousand".