3894327360 has 672 divisors, whose sum is σ = 17699565312. Its totient is φ = 760872960.

The previous prime is 3894327347. The next prime is 3894327373. The reversal of 3894327360 is 637234983.

It is an interprime number because it is at equal distance from previous prime (3894327347) and next prime (3894327373).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3769404 + ... + 3770436.

Almost surely, 2^3894327360 is an apocalyptic number.

3894327360 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 3894327360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8849782656).

3894327360 is an abundant number, since it is smaller than the sum of its proper divisors (13805237952).

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

3894327360 is a wasteful number, since it uses less digits than its factorization.

3894327360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3894327360 is about 62404.5459882531. The cubic root of 3894327360 is about 1573.2973770071.

The spelling of 3894327360 in words is "three billion, eight hundred ninety-four million, three hundred twenty-seven thousand, three hundred sixty".