3320945418240 has 672 divisors, whose sum is σ = 12172516574400. Its totient is φ = 835190784000.

The previous prime is 3320945418229. The next prime is 3320945418251. The reversal of 3320945418240 is 428145490233.

3320945418240 is a `hidden beast` number, since 3 + 3 + 20 + 9 + 4 + 541 + 82 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3320945418229) and next prime (3320945418251).

It is a super-2 number, since 2×3320945418240² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1758043216 + ... + 1758045104.

It is an arithmetic number, because the mean of its divisors is an integer number (18113863950).

Almost surely, 2^{3320945418240} is an apocalyptic number.

3320945418240 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 3320945418240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6086258287200).

3320945418240 is an abundant number, since it is smaller than the sum of its proper divisors (8851571156160).

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

3320945418240 is a wasteful number, since it uses less digits than its factorization.

3320945418240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3320945418240 in words is "three trillion, three hundred twenty billion, nine hundred forty-five million, four hundred eighteen thousand, two hundred forty".