343274872452408 has 384 divisors, whose sum is σ = 1106442225100800. Its totient is φ = 98212193224704.

The previous prime is 343274872452377. The next prime is 343274872452443. The reversal of 343274872452408 is 804254278472343.

343274872452408 is a `hidden beast` number, since 3 + 4 + 3 + 2 + 7 + 4 + 87 + 24 + 524 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48174841 + ... + 54839447.

It is an arithmetic number, because the mean of its divisors is an integer number (2881359961200).

Almost surely, 2^{343274872452408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343274872452408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553221112550400).

343274872452408 is an abundant number, since it is smaller than the sum of its proper divisors (763167352648392).

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

343274872452408 is a wasteful number, since it uses less digits than its factorization.

343274872452408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664748 (or 6664725 counting only the distinct ones).

The product of its (nonzero) digits is 289013760, while the sum is 63.

The spelling of 343274872452408 in words is "three hundred forty-three trillion, two hundred seventy-four billion, eight hundred seventy-two million, four hundred fifty-two thousand, four hundred eight".