343672871976 has 128 divisors (see below), whose sum is σ = 1091292998400. Its totient is φ = 98168129280.

The previous prime is 343672871903. The next prime is 343672871977. The reversal of 343672871976 is 679178276343.

343672871976 is a `hidden beast` number, since 3 + 4 + 367 + 2 + 87 + 197 + 6 = 666.

It is a super-2 number, since 2×343672871976² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (343672871977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6658846 + ... + 6710258.

It is an arithmetic number, because the mean of its divisors is an integer number (8525726550).

Almost surely, 2^343672871976 is an apocalyptic number.

343672871976 is a gapful number since it is divisible by the number (36) 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 343672871976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545646499200).

343672871976 is an abundant number, since it is smaller than the sum of its proper divisors (747620126424).

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

343672871976 is a wasteful number, since it uses less digits than its factorization.

343672871976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55856 (or 55846 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 343672871976 in words is "three hundred forty-three billion, six hundred seventy-two million, eight hundred seventy-one thousand, nine hundred seventy-six".