3907135863312 has 640 divisors, whose sum is σ = 12438883860480. Its totient is φ = 1043165952000.

The previous prime is 3907135863221. The next prime is 3907135863413. The reversal of 3907135863312 is 2133685317093.

It is a super-4 number, since 4×3907135863312⁴ (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 955054387 + ... + 955058477.

It is an arithmetic number, because the mean of its divisors is an integer number (19435756032).

Almost surely, 2^{3907135863312} 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 3907135863312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6219441930240).

3907135863312 is an abundant number, since it is smaller than the sum of its proper divisors (8531747997168).

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

3907135863312 is a wasteful number, since it uses less digits than its factorization.

3907135863312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4283 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 3907135863312 in words is "three trillion, nine hundred seven billion, one hundred thirty-five million, eight hundred sixty-three thousand, three hundred twelve".