3331322332000 has 384 divisors, whose sum is σ = 8975401344000. Its totient is φ = 1207793664000.

The previous prime is 3331322331973. The next prime is 3331322332033. The reversal of 3331322332000 is 2332231333.

It is a super-2 number, since 2×3331322332000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 689569585 + ... + 689574415.

It is an arithmetic number, because the mean of its divisors is an integer number (23373441000).

Almost surely, 2^{3331322332000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3331322332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487700672000).

3331322332000 is an abundant number, since it is smaller than the sum of its proper divisors (5644079012000).

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

3331322332000 is a wasteful number, since it uses less digits than its factorization.

3331322332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5107 (or 5089 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 25.

Adding to 3331322332000 its reverse (2332231333), we get a palindrome (3333654563333).

The spelling of 3331322332000 in words is "three trillion, three hundred thirty-one billion, three hundred twenty-two million, three hundred thirty-two thousand".