343144961280 has 576 divisors, whose sum is σ = 1398331468800. Its totient is φ = 78806753280.

The previous prime is 343144961273. The next prime is 343144961311. The reversal of 343144961280 is 82169441343.

343144961280 is a `hidden beast` number, since 3 + 4 + 31 + 4 + 496 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7199287 + ... + 7246793.

It is an arithmetic number, because the mean of its divisors is an integer number (2427658800).

Almost surely, 2^343144961280 is an apocalyptic number.

343144961280 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 343144961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699165734400).

343144961280 is an abundant number, since it is smaller than the sum of its proper divisors (1055186507520).

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

343144961280 is a wasteful number, since it uses less digits than its factorization.

343144961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47567 (or 47547 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 343144961280 in words is "three hundred forty-three billion, one hundred forty-four million, nine hundred sixty-one thousand, two hundred eighty".