343754191872 has 2112 divisors, whose sum is σ = 1442052218880. Its totient is φ = 79116632064.

The previous prime is 343754191871. The next prime is 343754191961. The reversal of 343754191872 is 278191457343.

343754191872 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 541 + 91 + 8 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5080320) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343754191871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7313918953 + ... + 7313918999.

Almost surely, 2^343754191872 is an apocalyptic number.

343754191872 is a gapful number since it is divisible by the number (32) 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 343754191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721026109440).

343754191872 is an abundant number, since it is smaller than the sum of its proper divisors (1098298027008).

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

343754191872 is a wasteful number, since it uses less digits than its factorization.

343754191872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 343754191872 in words is "three hundred forty-three billion, seven hundred fifty-four million, one hundred ninety-one thousand, eight hundred seventy-two".