3149487074800 has 360 divisors, whose sum is σ = 8407050383088. Its totient is φ = 1132947763200.

The previous prime is 3149487074779. The next prime is 3149487074827. The reversal of 3149487074800 is 84707849413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1900715572 + ... + 1900717228.

Almost surely, 2^{3149487074800} 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 3149487074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203525191544).

3149487074800 is an abundant number, since it is smaller than the sum of its proper divisors (5257563308288).

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

3149487074800 is a wasteful number, since it uses less digits than its factorization.

3149487074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 3149487074800 in words is "three trillion, one hundred forty-nine billion, four hundred eighty-seven million, seventy-four thousand, eight hundred".