34311240413200 has 120 divisors (see below), whose sum is σ = 87560601519528. Its totient is φ = 12875903139840.

The previous prime is 34311240413173. The next prime is 34311240413201. The reversal of 34311240413200 is 231404211343.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 27224059358224 + 7087181054976 = 5217668^2 + 2662176^2 .

It is a super-2 number, since 2×34311240413200² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34311240413201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5931937 + ... + 10188736.

Almost surely, 2^{34311240413200} is an apocalyptic number.

It is an amenable number.

34311240413200 is an abundant number, since it is smaller than the sum of its proper divisors (53249361106328).

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

34311240413200 is a wasteful number, since it uses less digits than its factorization.

34311240413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16121021 (or 16121010 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 34311240413200 its reverse (231404211343), we get a palindrome (34542644624543).

The spelling of 34311240413200 in words is "thirty-four trillion, three hundred eleven billion, two hundred forty million, four hundred thirteen thousand, two hundred".