3731946975744 has 320 divisors, whose sum is σ = 10878743715840. Its totient is φ = 1129961963520.

The previous prime is 3731946975727. The next prime is 3731946975763. The reversal of 3731946975744 is 4475796491373.

It is a super-3 number, since 3×3731946975744³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490589989 + ... + 490597595.

It is an arithmetic number, because the mean of its divisors is an integer number (33996074112).

Almost surely, 2^{3731946975744} 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 3731946975744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5439371857920).

3731946975744 is an abundant number, since it is smaller than the sum of its proper divisors (7146796740096).

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

3731946975744 is a wasteful number, since it uses less digits than its factorization.

3731946975744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8031 (or 8015 counting only the distinct ones).

The product of its digits is 480090240, while the sum is 69.

The spelling of 3731946975744 in words is "three trillion, seven hundred thirty-one billion, nine hundred forty-six million, nine hundred seventy-five thousand, seven hundred forty-four".