3413740451600 has 120 divisors (see below), whose sum is σ = 8357812456392. Its totient is φ = 1339482726400.

The previous prime is 3413740451587. The next prime is 3413740451617. The reversal of 3413740451600 is 61540473143.

It can be written as a sum of positive squares in 12 ways, for example, as 60783943936 + 3352956507664 = 246544^2 + 1831108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148664120 + ... + 148687080.

Almost surely, 2^{3413740451600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413740451600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4178906228196).

3413740451600 is an abundant number, since it is smaller than the sum of its proper divisors (4944072004792).

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

3413740451600 is a wasteful number, since it uses less digits than its factorization.

3413740451600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30045 (or 30034 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 3413740451600 in words is "three trillion, four hundred thirteen billion, seven hundred forty million, four hundred fifty-one thousand, six hundred".