342174094416 has 1600 divisors, whose sum is σ = 1382768640000. Its totient is φ = 80655160320.

The previous prime is 342174094411. The next prime is 342174094441. The reversal of 342174094416 is 614490471243.

342174094416 is a `hidden beast` number, since 34 + 2 + 174 + 0 + 9 + 441 + 6 = 666.

It is a super-2 number, since 2×342174094416² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342174094411) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2694284145 + ... + 2694284271.

It is an arithmetic number, because the mean of its divisors is an integer number (864230400).

Almost surely, 2^342174094416 is an apocalyptic number.

342174094416 is a gapful number since it is divisible by the number (36) 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 342174094416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691384320000).

342174094416 is an abundant number, since it is smaller than the sum of its proper divisors (1040594545584).

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

342174094416 is a wasteful number, since it uses less digits than its factorization.

342174094416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 342174094416 in words is "three hundred forty-two billion, one hundred seventy-four million, ninety-four thousand, four hundred sixteen".