330032001000 has 256 divisors, whose sum is σ = 1135959552000. Its totient is φ = 79256832000.

The previous prime is 330032000993. The next prime is 330032001031. The reversal of 330032001000 is 100230033.

It is a happy number.

It is a super-2 number, since 2×330032001000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1495801 + ... + 1702199.

It is an arithmetic number, because the mean of its divisors is an integer number (4437342000).

Almost surely, 2^330032001000 is an apocalyptic number.

330032001000 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 330032001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567979776000).

330032001000 is an abundant number, since it is smaller than the sum of its proper divisors (805927551000).

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

330032001000 is a wasteful number, since it uses less digits than its factorization.

330032001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206477 (or 206463 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 330032001000 its reverse (100230033), we get a palindrome (330132231033).

The spelling of 330032001000 in words is "three hundred thirty billion, thirty-two million, one thousand".