3894676916160 has 224 divisors, whose sum is σ = 12572594445312. Its totient is φ = 1021206712320.

The previous prime is 3894676916113. The next prime is 3894676916219. The reversal of 3894676916160 is 616196764983.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3894676916091 and 3894676916100.

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, 203017929 + ... + 203037111.

Almost surely, 2^{3894676916160} is an apocalyptic number.

3894676916160 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 3894676916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286297222656).

3894676916160 is an abundant number, since it is smaller than the sum of its proper divisors (8677917529152).

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

3894676916160 is a wasteful number, since it uses less digits than its factorization.

3894676916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22731 (or 22721 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 3894676916160 in words is "three trillion, eight hundred ninety-four billion, six hundred seventy-six million, nine hundred sixteen thousand, one hundred sixty".