3904090967790 has 512 divisors, whose sum is σ = 12097664409600. Its totient is φ = 887374725120.

The previous prime is 3904090967771. The next prime is 3904090967809. The reversal of 3904090967790 is 977690904093.

3904090967790 is a `hidden beast` number, since 390 + 4 + 0 + 9 + 0 + 96 + 77 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (3904090967771) and next prime (3904090967809).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 768368050 + ... + 768373130.

It is an arithmetic number, because the mean of its divisors is an integer number (23628250800).

Almost surely, 2^{3904090967790} is an apocalyptic number.

3904090967790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3904090967790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048832204800).

3904090967790 is an abundant number, since it is smaller than the sum of its proper divisors (8193573441810).

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

3904090967790 is a wasteful number, since it uses less digits than its factorization.

3904090967790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 63.

The spelling of 3904090967790 in words is "three trillion, nine hundred four billion, ninety million, nine hundred sixty-seven thousand, seven hundred ninety".