340345513200 has 360 divisors, whose sum is σ = 1383535555200. Its totient is φ = 70721011200.

The previous prime is 340345513169. The next prime is 340345513247. The reversal of 340345513200 is 2315543043.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 383701 + ... + 909899.

It is an arithmetic number, because the mean of its divisors is an integer number (3843154320).

Almost surely, 2^340345513200 is an apocalyptic number.

340345513200 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 340345513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691767777600).

340345513200 is an abundant number, since it is smaller than the sum of its proper divisors (1043190042000).

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

340345513200 is a wasteful number, since it uses less digits than its factorization.

340345513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526245 (or 526227 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 340345513200 in words is "three hundred forty billion, three hundred forty-five million, five hundred thirteen thousand, two hundred".