343034891136 has 480 divisors, whose sum is σ = 1257425175600. Its totient is φ = 92242354176.

The previous prime is 343034891099. The next prime is 343034891149. The reversal of 343034891136 is 631198430343.

343034891136 is a `hidden beast` number, since 3 + 4 + 30 + 3 + 489 + 1 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 343034891091 and 343034891100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8616685 + ... + 8656403.

Almost surely, 2^343034891136 is an apocalyptic number.

343034891136 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 343034891136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628712587800).

343034891136 is an abundant number, since it is smaller than the sum of its proper divisors (914390284464).

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

343034891136 is a wasteful number, since it uses less digits than its factorization.

343034891136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39776 (or 39748 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 343034891136 in words is "three hundred forty-three billion, thirty-four million, eight hundred ninety-one thousand, one hundred thirty-six".