3426670316160 has 768 divisors, whose sum is σ = 15196591388160. Its totient is φ = 691553009664.

The previous prime is 3426670316141. The next prime is 3426670316171. The reversal of 3426670316160 is 616130766243.

3426670316160 is a `hidden beast` number, since 3 + 4 + 26 + 6 + 7 + 0 + 3 + 1 + 616 + 0 = 666.

3426670316160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 11913562 + ... + 12197798.

It is an arithmetic number, because the mean of its divisors is an integer number (19787228370).

Almost surely, 2^{3426670316160} is an apocalyptic number.

3426670316160 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 3426670316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7598295694080).

3426670316160 is an abundant number, since it is smaller than the sum of its proper divisors (11769921072000).

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

3426670316160 is a wasteful number, since it uses less digits than its factorization.

3426670316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284305 (or 284290 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3426670316160 in words is "three trillion, four hundred twenty-six billion, six hundred seventy million, three hundred sixteen thousand, one hundred sixty".