3145984108400 has 60 divisors (see below), whose sum is σ = 8637973516752. Its totient is φ = 1078623121920.

The previous prime is 3145984108381. The next prime is 3145984108417. The reversal of 3145984108400 is 48014895413.

It is a happy number.

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, 561780077 + ... + 561785676.

Almost surely, 2^{3145984108400} is an apocalyptic number.

It is an amenable number.

3145984108400 is an abundant number, since it is smaller than the sum of its proper divisors (5491989408352).

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

3145984108400 is a wasteful number, since it uses less digits than its factorization.

3145984108400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123565778 (or 1123565767 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 3145984108400 in words is "three trillion, one hundred forty-five billion, nine hundred eighty-four million, one hundred eight thousand, four hundred".