3183974866944 has 896 divisors, whose sum is σ = 10780380979200. Its totient is φ = 922390364160.

The previous prime is 3183974866937. The next prime is 3183974866957. The reversal of 3183974866944 is 4496684793813.

It is a happy number.

3183974866944 is a `hidden beast` number, since 3 + 1 + 83 + 9 + 7 + 486 + 69 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2929139169 + ... + 2929140255.

It is an arithmetic number, because the mean of its divisors is an integer number (12031675200).

Almost surely, 2^{3183974866944} is an apocalyptic number.

3183974866944 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3183974866944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5390190489600).

3183974866944 is an abundant number, since it is smaller than the sum of its proper divisors (7596406112256).

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

3183974866944 is a wasteful number, since it uses less digits than its factorization.

3183974866944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1169 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 3183974866944 in words is "three trillion, one hundred eighty-three billion, nine hundred seventy-four million, eight hundred sixty-six thousand, nine hundred forty-four".