3904676156160 has 972 divisors, whose sum is σ = 15123291923376. Its totient is φ = 929700495360.

The previous prime is 3904676156153. The next prime is 3904676156177. The reversal of 3904676156160 is 616516764093.

It is a happy number.

3904676156160 is a `hidden beast` number, since 3 + 9 + 0 + 4 + 6 + 7 + 6 + 15 + 616 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3904676156097 and 3904676156106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1870950637 + ... + 1870952723.

It is an arithmetic number, because the mean of its divisors is an integer number (15558942308).

Almost surely, 2^{3904676156160} is an apocalyptic number.

3904676156160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3904676156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561645961688).

3904676156160 is an abundant number, since it is smaller than the sum of its proper divisors (11218615767216).

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

3904676156160 is a wasteful number, since it uses less digits than its factorization.

3904676156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3904676156160 in words is "three trillion, nine hundred four billion, six hundred seventy-six million, one hundred fifty-six thousand, one hundred sixty".