343442221034400 has 108 divisors (see below), whose sum is σ = 1211063131947942. Its totient is φ = 91584592273920.

The previous prime is 343442221034399. The next prime is 343442221034519. The reversal of 343442221034400 is 4430122244343.

343442221034400 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 4 + 2 + 2 + 210 + 34 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 197729606996496 + 145712614037904 = 14061636^2 + 12071148^2 .

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 17 ways as a sum of consecutive naturals, for example, 23850147039 + ... + 23850161438.

Almost surely, 2^{343442221034400} is an apocalyptic number.

343442221034400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

343442221034400 is an abundant number, since it is smaller than the sum of its proper divisors (867620910913542).

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

343442221034400 is a wasteful number, since it uses less digits than its factorization.

343442221034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47700308503 (or 47700308487 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 343442221034400 its reverse (4430122244343), we get a palindrome (347872343278743).

The spelling of 343442221034400 in words is "three hundred forty-three trillion, four hundred forty-two billion, two hundred twenty-one million, thirty-four thousand, four hundred".