3906970279296 has 256 divisors, whose sum is σ = 12105878976000. Its totient is φ = 1093412339712.

The previous prime is 3906970279259. The next prime is 3906970279351. The reversal of 3906970279296 is 6929720796093.

It is a self number, because there is not a number n which added to its sum of digits gives 3906970279296.

It is a congruent number.

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, 25521510 + ... + 25674138.

It is an arithmetic number, because the mean of its divisors is an integer number (47288589750).

Almost surely, 2^{3906970279296} 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 3906970279296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6052939488000).

3906970279296 is an abundant number, since it is smaller than the sum of its proper divisors (8198908696704).

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

3906970279296 is a wasteful number, since it uses less digits than its factorization.

3906970279296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152849 (or 152837 counting only the distinct ones).

The product of its (nonzero) digits is 138883248, while the sum is 69.

The spelling of 3906970279296 in words is "three trillion, nine hundred six billion, nine hundred seventy million, two hundred seventy-nine thousand, two hundred ninety-six".