343001124864 has 156 divisors (see below), whose sum is σ = 1017552825796. Its totient is φ = 111243165696.

The previous prime is 343001124853. The next prime is 343001124881. The reversal of 343001124864 is 468421100343.

343001124864 is a `hidden beast` number, since 34 + 30 + 0 + 112 + 486 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 300479385600 + 42521739264 = 548160^2 + 206208^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1238232 + ... + 1489704.

Almost surely, 2^343001124864 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 343001124864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508776412898).

343001124864 is an abundant number, since it is smaller than the sum of its proper divisors (674551700932).

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

343001124864 is a wasteful number, since it uses less digits than its factorization.

343001124864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251540 (or 251515 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 343001124864 in words is "three hundred forty-three billion, one million, one hundred twenty-four thousand, eight hundred sixty-four".