3984190560 has 576 divisors, whose sum is σ = 16643128320. Its totient is φ = 847687680.

The previous prime is 3984190537. The next prime is 3984190589. The reversal of 3984190560 is 650914893.

It is a happy number.

3984190560 is a `hidden beast` number, since 3 + 9 + 84 + 1 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×3984190560² = 31747548836786227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13597774 + ... + 13598066.

It is an arithmetic number, because the mean of its divisors is an integer number (28894320).

Almost surely, 2^3984190560 is an apocalyptic number.

3984190560 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 3984190560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8321564160).

3984190560 is an abundant number, since it is smaller than the sum of its proper divisors (12658937760).

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

3984190560 is a wasteful number, since it uses less digits than its factorization.

3984190560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3984190560 is about 63120.4448653525. Note that the first 3 decimals coincide. The cubic root of 3984190560 is about 1585.3069638697.

The spelling of 3984190560 in words is "three billion, nine hundred eighty-four million, one hundred ninety thousand, five hundred sixty".