3468407374080 has 1728 divisors, whose sum is σ = 13946085893376. Its totient is φ = 788299776000.

The previous prime is 3468407374079. The next prime is 3468407374189. The reversal of 3468407374080 is 804737048643.

3468407374080 is a `hidden beast` number, since 3 + 468 + 40 + 73 + 74 + 0 + 8 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19162471590 + ... + 19162471770.

Almost surely, 2^{3468407374080} is an apocalyptic number.

3468407374080 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 3468407374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6973042946688).

3468407374080 is an abundant number, since it is smaller than the sum of its proper divisors (10477678519296).

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

3468407374080 is a wasteful number, since it uses less digits than its factorization.

3468407374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 3468407374080 in words is "three trillion, four hundred sixty-eight billion, four hundred seven million, three hundred seventy-four thousand, eighty".