3963148560 has 400 divisors, whose sum is σ = 16122218112. Its totient is φ = 883353600.

The previous prime is 3963148537. The next prime is 3963148577. The reversal of 3963148560 is 658413693.

3963148560 is a `hidden beast` number, since 3 + 9 + 631 + 4 + 8 + 5 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1858695 + ... + 1860825.

Almost surely, 2^3963148560 is an apocalyptic number.

3963148560 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 3963148560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061109056).

3963148560 is an abundant number, since it is smaller than the sum of its proper divisors (12159069552).

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

3963148560 is a wasteful number, since it uses less digits than its factorization.

3963148560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3963148560 is about 62953.5428709139. The cubic root of 3963148560 is about 1582.5111699308.

The spelling of 3963148560 in words is "three billion, nine hundred sixty-three million, one hundred forty-eight thousand, five hundred sixty".