343886400 has 504 divisors, whose sum is σ = 1444532544. Its totient is φ = 76492800.

The previous prime is 343886383. The next prime is 343886407. The reversal of 343886400 is 4688343.

343886400 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 8 + 640 + 0 = 666.

It is a super-2 number, since 2×343886400² = 236515712209920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (343886407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2059117 + ... + 2059283.

It is an arithmetic number, because the mean of its divisors is an integer number (2866136).

Almost surely, 2^343886400 is an apocalyptic number.

343886400 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 343886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722266272).

343886400 is an abundant number, since it is smaller than the sum of its proper divisors (1100646144).

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

343886400 is a wasteful number, since it uses less digits than its factorization.

343886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 343886400 is about 18544.1742873604. The cubic root of 343886400 is about 700.6024745120.

The spelling of 343886400 in words is "three hundred forty-three million, eight hundred eighty-six thousand, four hundred".