343192227840 has 624 divisors, whose sum is σ = 1483183817856. Its totient is φ = 71309721600.

The previous prime is 343192227821. The next prime is 343192227881. The reversal of 343192227840 is 48722291343.

343192227840 is a `hidden beast` number, since 3 + 4 + 319 + 22 + 278 + 40 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14180550 + ... + 14204730.

It is an arithmetic number, because the mean of its divisors is an integer number (2376897144).

Almost surely, 2^343192227840 is an apocalyptic number.

343192227840 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 343192227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741591908928).

343192227840 is an abundant number, since it is smaller than the sum of its proper divisors (1139991590016).

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

343192227840 is a wasteful number, since it uses less digits than its factorization.

343192227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24234 (or 24209 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 343192227840 in words is "three hundred forty-three billion, one hundred ninety-two million, two hundred twenty-seven thousand, eight hundred forty".