3894696960 has 704 divisors, whose sum is σ = 16129704960. Its totient is φ = 778567680.

The previous prime is 3894696947. The next prime is 3894696979. The reversal of 3894696960 is 696964983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3894696894 and 3894696903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43760596 + ... + 43760684.

Almost surely, 2^3894696960 is an apocalyptic number.

3894696960 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 3894696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8064852480).

3894696960 is an abundant number, since it is smaller than the sum of its proper divisors (12235008000).

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

3894696960 is a wasteful number, since it uses less digits than its factorization.

3894696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 60.

The square root of 3894696960 is about 62407.5072407158. The cubic root of 3894696960 is about 1573.3471478885.

The spelling of 3894696960 in words is "three billion, eight hundred ninety-four million, six hundred ninety-six thousand, nine hundred sixty".