3430040314200 has 192 divisors, whose sum is σ = 10882308666240. Its totient is φ = 893249710080.

The previous prime is 3430040314193. The next prime is 3430040314213. The reversal of 3430040314200 is 24130400343.

3430040314200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262972879 + ... + 262985921.

It is an arithmetic number, because the mean of its divisors is an integer number (56678690970).

Almost surely, 2^{3430040314200} is an apocalyptic number.

3430040314200 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 3430040314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441154333120).

3430040314200 is an abundant number, since it is smaller than the sum of its proper divisors (7452268352040).

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

3430040314200 is a wasteful number, since it uses less digits than its factorization.

3430040314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23298 (or 23289 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3430040314200 its reverse (24130400343), we get a palindrome (3454170714543).

The spelling of 3430040314200 in words is "three trillion, four hundred thirty billion, forty million, three hundred fourteen thousand, two hundred".