343910863800 has 384 divisors, whose sum is σ = 1362137817600. Its totient is φ = 78124538880.

The previous prime is 343910863799. The next prime is 343910863811. The reversal of 343910863800 is 8368019343.

343910863800 is a `hidden beast` number, since 3 + 4 + 3 + 9 + 1 + 0 + 8 + 638 + 0 + 0 = 666.

It is a super-3 number, since 3×343910863800³ (a number of 36 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 6133492 + ... + 6189308.

It is an arithmetic number, because the mean of its divisors is an integer number (3547233900).

Almost surely, 2^343910863800 is an apocalyptic number.

343910863800 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 343910863800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681068908800).

343910863800 is an abundant number, since it is smaller than the sum of its proper divisors (1018226953800).

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

343910863800 is a wasteful number, since it uses less digits than its factorization.

343910863800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56012 (or 55997 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 343910863800 in words is "three hundred forty-three billion, nine hundred ten million, eight hundred sixty-three thousand, eight hundred".