343642749120 has 2016 divisors, whose sum is σ = 1502580119040. Its totient is φ = 71530905600.

The previous prime is 343642749119. The next prime is 343642749133. The reversal of 343642749120 is 21947246343.

343642749120 is a `hidden beast` number, since 3 + 4 + 364 + 274 + 9 + 12 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4840038685 + ... + 4840038755.

It is an arithmetic number, because the mean of its divisors is an integer number (745327440).

Almost surely, 2^343642749120 is an apocalyptic number.

343642749120 is a gapful number since it is divisible by the number (30) 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 343642749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751290059520).

343642749120 is an abundant number, since it is smaller than the sum of its proper divisors (1158937369920).

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

343642749120 is a wasteful number, since it uses less digits than its factorization.

343642749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 343642749120 in words is "three hundred forty-three billion, six hundred forty-two million, seven hundred forty-nine thousand, one hundred twenty".