3963587460 has 288 divisors, whose sum is σ = 13459719168. Its totient is φ = 868008960.

The previous prime is 3963587431. The next prime is 3963587489. The reversal of 3963587460 is 647853693.

It is an interprime number because it is at equal distance from previous prime (3963587431) and next prime (3963587489).

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 95 ways as a sum of consecutive naturals, for example, 14308842 + ... + 14309118.

It is an arithmetic number, because the mean of its divisors is an integer number (46735136).

Almost surely, 2^3963587460 is an apocalyptic number.

3963587460 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 3963587460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6729859584).

3963587460 is an abundant number, since it is smaller than the sum of its proper divisors (9496131708).

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

3963587460 is a wasteful number, since it uses less digits than its factorization.

3963587460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 51.

The square root of 3963587460 is about 62957.0286782977. The cubic root of 3963587460 is about 1582.5695863224.

The spelling of 3963587460 in words is "three billion, nine hundred sixty-three million, five hundred eighty-seven thousand, four hundred sixty".