3917274000640 has 1728 divisors, whose sum is σ = 13487756470272. Its totient is φ = 1070176665600.

The previous prime is 3917274000611. The next prime is 3917274000649. The reversal of 3917274000640 is 460004727193.

It is a super-2 number, since 2×3917274000640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3917274000649) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20296756384 + ... + 20296756576.

It is an arithmetic number, because the mean of its divisors is an integer number (7805414624).

Almost surely, 2^{3917274000640} 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 3917274000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6743878235136).

3917274000640 is an abundant number, since it is smaller than the sum of its proper divisors (9570482469632).

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

3917274000640 is a wasteful number, since it uses less digits than its factorization.

3917274000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 3917274000640 in words is "three trillion, nine hundred seventeen billion, two hundred seventy-four million, six hundred forty", and thus it is an aban number.