3304332413040 has 160 divisors (see below), whose sum is σ = 10288885040640. Its totient is φ = 877253372928.

The previous prime is 3304332413027. The next prime is 3304332413069. The reversal of 3304332413040 is 403142334033.

It is a super-2 number, since 2×3304332413040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3304332412989 and 3304332413007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52784799 + ... + 52847361.

It is an arithmetic number, because the mean of its divisors is an integer number (64305531504).

Almost surely, 2^{3304332413040} is an apocalyptic number.

3304332413040 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 3304332413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144442520320).

3304332413040 is an abundant number, since it is smaller than the sum of its proper divisors (6984552627600).

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

3304332413040 is a wasteful number, since it uses less digits than its factorization.

3304332413040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63551 (or 63545 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 3304332413040 its reverse (403142334033), we get a palindrome (3707474747073).

The spelling of 3304332413040 in words is "three trillion, three hundred four billion, three hundred thirty-two million, four hundred thirteen thousand, forty".