3320115904080 has 240 divisors, whose sum is σ = 11746012998720. Its totient is φ = 838114947072.

The previous prime is 3320115904069. The next prime is 3320115904081. The reversal of 3320115904080 is 804095110233.

3320115904080 is a `hidden beast` number, since 3 + 3 + 20 + 1 + 1 + 590 + 40 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3320115904080² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320115904081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17649399 + ... + 17836521.

It is an arithmetic number, because the mean of its divisors is an integer number (48941720828).

Almost surely, 2^{3320115904080} is an apocalyptic number.

3320115904080 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 3320115904080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5873006499360).

3320115904080 is an abundant number, since it is smaller than the sum of its proper divisors (8425897094640).

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

3320115904080 is a wasteful number, since it uses less digits than its factorization.

3320115904080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188458 (or 188449 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 3320115904080 in words is "three trillion, three hundred twenty billion, one hundred fifteen million, nine hundred four thousand, eighty".