343470400 has 252 divisors, whose sum is σ = 1061903388. Its totient is φ = 108380160.

The previous prime is 343470389. The next prime is 343470401. The reversal of 343470400 is 4074343.

It can be written as a sum of positive squares in 6 ways, for example, as 66846976 + 276623424 = 8176^2 + 16632^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (343470401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1019032 + ... + 1019368.

Almost surely, 2^343470400 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 343470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530951694).

343470400 is an abundant number, since it is smaller than the sum of its proper divisors (718432988).

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

343470400 is a wasteful number, since it uses less digits than its factorization.

343470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 343470400 is about 18532.9544325777. The cubic root of 343470400 is about 700.3198538256.

The spelling of 343470400 in words is "three hundred forty-three million, four hundred seventy thousand, four hundred".