343977984 has 312 divisors, whose sum is σ = 1199424512. Its totient is φ = 92897280.

The previous prime is 343977967. The next prime is 343978009. The reversal of 343977984 is 489779343.

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

It is a self number, because there is not a number n which added to its sum of digits gives 343977984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7999467 + ... + 7999509.

Almost surely, 2^343977984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 343977984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599712256).

343977984 is an abundant number, since it is smaller than the sum of its proper divisors (855446528).

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

343977984 is a wasteful number, since it uses less digits than its factorization.

343977984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 343977984 is about 18546.6434699112. The cubic root of 343977984 is about 700.6646639267.

The spelling of 343977984 in words is "three hundred forty-three million, nine hundred seventy-seven thousand, nine hundred eighty-four".