3366167804160 has 1152 divisors, whose sum is σ = 13307566325760. Its totient is φ = 708918312960.

The previous prime is 3366167804141. The next prime is 3366167804191. The reversal of 3366167804160 is 614087616633.

It is a happy number.

It is a super-2 number, since 2×3366167804160² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42609719001 + ... + 42609719079.

It is an arithmetic number, because the mean of its divisors is an integer number (11551706880).

Almost surely, 2^{3366167804160} is an apocalyptic number.

3366167804160 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 3366167804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653783162880).

3366167804160 is an abundant number, since it is smaller than the sum of its proper divisors (9941398521600).

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

3366167804160 is an frugal number, since it uses more digits than its factorization.

3366167804160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 3366167804160 in words is "three trillion, three hundred sixty-six billion, one hundred sixty-seven million, eight hundred four thousand, one hundred sixty".