343849911120 has 180 divisors, whose sum is σ = 1226686291740. Its totient is φ = 86299533312.

The previous prime is 343849911089. The next prime is 343849911121. The reversal of 343849911120 is 21119948343.

343849911120 is a `hidden beast` number, since 3 + 4 + 38 + 499 + 1 + 1 + 120 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 95451338304 + 248398572816 = 308952^2 + 498396^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×343849911120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343849911121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 618165 + ... + 1034324.

It is an arithmetic number, because the mean of its divisors is an integer number (6814923843).

Almost surely, 2^343849911120 is an apocalyptic number.

343849911120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343849911120 is an abundant number, since it is smaller than the sum of its proper divisors (882836380620).

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

343849911120 is a wasteful number, since it uses less digits than its factorization.

343849911120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652542 (or 1652516 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 343849911120 in words is "three hundred forty-three billion, eight hundred forty-nine million, nine hundred eleven thousand, one hundred twenty".