3900770293056 has 336 divisors, whose sum is σ = 13184335945728. Its totient is φ = 995586508800.

The previous prime is 3900770293051. The next prime is 3900770293061. The reversal of 3900770293056 is 6503920770093.

It is an interprime number because it is at equal distance from previous prime (3900770293051) and next prime (3900770293061).

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900770293051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6764221 + ... + 7318211.

Almost surely, 2^{3900770293056} 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 3900770293056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592167972864).

3900770293056 is an abundant number, since it is smaller than the sum of its proper divisors (9283565652672).

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

3900770293056 is a wasteful number, since it uses less digits than its factorization.

3900770293056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554070 (or 554047 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 51.

The spelling of 3900770293056 in words is "three trillion, nine hundred billion, seven hundred seventy million, two hundred ninety-three thousand, fifty-six".