343796400 has 270 divisors, whose sum is σ = 1248350532. Its totient is φ = 90979200.

The previous prime is 343796351. The next prime is 343796419. The reversal of 343796400 is 4697343.

343796400 is a `hidden beast` number, since 3 + 4 + 3 + 7 + 9 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (270).

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2624335 + ... + 2624465.

Almost surely, 2^343796400 is an apocalyptic number.

343796400 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 343796400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624175266).

343796400 is an abundant number, since it is smaller than the sum of its proper divisors (904554132).

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

343796400 is an equidigital number, since it uses as much as digits as its factorization.

343796400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 343796400 is about 18541.7474904605. The cubic root of 343796400 is about 700.5413499428.

The spelling of 343796400 in words is "three hundred forty-three million, seven hundred ninety-six thousand, four hundred".