343521891216 has 320 divisors, whose sum is σ = 1144669593600. Its totient is φ = 96605913600.

The previous prime is 343521891211. The next prime is 343521891221. The reversal of 343521891216 is 612198125343.

343521891216 is a `hidden beast` number, since 3 + 4 + 352 + 1 + 89 + 1 + 216 = 666.

It is an interprime number because it is at equal distance from previous prime (343521891211) and next prime (343521891221).

It is not an unprimeable number, because it can be changed into a prime (343521891211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197312106 + ... + 197313846.

It is an arithmetic number, because the mean of its divisors is an integer number (3577092480).

Almost surely, 2^343521891216 is an apocalyptic number.

343521891216 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 343521891216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572334796800).

343521891216 is an abundant number, since it is smaller than the sum of its proper divisors (801147702384).

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

343521891216 is a wasteful number, since it uses less digits than its factorization.

343521891216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2743 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 343521891216 in words is "three hundred forty-three billion, five hundred twenty-one million, eight hundred ninety-one thousand, two hundred sixteen".