34314341200 has 60 divisors (see below), whose sum is σ = 83995732188. Its totient is φ = 13466752000.

The previous prime is 34314341141. The next prime is 34314341219. The reversal of 34314341200 is 214341343.

It can be written as a sum of positive squares in 6 ways, for example, as 2443522624 + 31870818576 = 49432^2 + 178524^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 788101 + ... + 830500.

Almost surely, 2^34314341200 is an apocalyptic number.

It is an amenable number.

34314341200 is an abundant number, since it is smaller than the sum of its proper divisors (49681390988).

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

34314341200 is a wasteful number, since it uses less digits than its factorization.

34314341200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618672 (or 1618661 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 34314341200 its reverse (214341343), we get a palindrome (34528682543).

The spelling of 34314341200 in words is "thirty-four billion, three hundred fourteen million, three hundred forty-one thousand, two hundred".