3290832099072 has 288 divisors, whose sum is σ = 11202997209600. Its totient is φ = 933372813312.

The previous prime is 3290832099059. The next prime is 3290832099077. The reversal of 3290832099072 is 2709902380923.

It is a happy number.

3290832099072 is a `hidden beast` number, since 3 + 290 + 83 + 209 + 9 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3290832099072² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3290832099077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6380379 + ... + 6876837.

Almost surely, 2^{3290832099072} is an apocalyptic number.

3290832099072 is a gapful number since it is divisible by the number (32) 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 3290832099072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601498604800).

3290832099072 is an abundant number, since it is smaller than the sum of its proper divisors (7912165110528).

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

3290832099072 is a wasteful number, since it uses less digits than its factorization.

3290832099072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496628 (or 496608 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 3290832099072 in words is "three trillion, two hundred ninety billion, eight hundred thirty-two million, ninety-nine thousand, seventy-two".