343304784900 has 1296 divisors, whose sum is σ = 1450044191232. Its totient is φ = 67060224000.

The previous prime is 343304784881. The next prime is 343304784913. The reversal of 343304784900 is 9487403343.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 556409392 + ... + 556410008.

Almost surely, 2^343304784900 is an apocalyptic number.

343304784900 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 343304784900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725022095616).

343304784900 is an abundant number, since it is smaller than the sum of its proper divisors (1106739406332).

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

343304784900 is a wasteful number, since it uses less digits than its factorization.

343304784900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 343304784900 in words is "three hundred forty-three billion, three hundred four million, seven hundred eighty-four thousand, nine hundred".