3412986295600 has 120 divisors (see below), whose sum is σ = 9385709642208. Its totient is φ = 1168340582400.

The previous prime is 3412986295583. The next prime is 3412986295601. The reversal of 3412986295600 is 65926892143.

It is not an unprimeable number, because it can be changed into a prime (3412986295601) 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, 844002 + ... + 2745598.

Almost surely, 2^{3412986295600} 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 3412986295600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692854821104).

3412986295600 is an abundant number, since it is smaller than the sum of its proper divisors (5972723346608).

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

3412986295600 is a wasteful number, since it uses less digits than its factorization.

3412986295600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1902263 (or 1902252 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 3412986295600 in words is "three trillion, four hundred twelve billion, nine hundred eighty-six million, two hundred ninety-five thousand, six hundred".