3304170455040 has 2240 divisors, whose sum is σ = 15403482864000. Its totient is φ = 660451885056.

The previous prime is 3304170454987. The next prime is 3304170455063. The reversal of 3304170455040 is 405540714033.

3304170455040 is a `hidden beast` number, since 3 + 3 + 0 + 41 + 70 + 45 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×3304170455040² (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 junction number, because it is equal to n+sod(n) for n = 3304170454986 and 3304170455004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 173903708151 + ... + 173903708169.

It is an arithmetic number, because the mean of its divisors is an integer number (6876554850).

Almost surely, 2^{3304170455040} is an apocalyptic number.

3304170455040 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 3304170455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7701741432000).

3304170455040 is an abundant number, since it is smaller than the sum of its proper divisors (12099312408960).

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

3304170455040 is an frugal number, since it uses more digits than its factorization.

3304170455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 3304170455040 in words is "three trillion, three hundred four billion, one hundred seventy million, four hundred fifty-five thousand, forty".