3963555840 has 208 divisors, whose sum is σ = 13097212416. Its totient is φ = 1022361600.

The previous prime is 3963555829. The next prime is 3963555863. The reversal of 3963555840 is 485553693.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3963555840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1903600 + ... + 1905680.

Almost surely, 2^3963555840 is an apocalyptic number.

3963555840 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 3963555840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6548606208).

3963555840 is an abundant number, since it is smaller than the sum of its proper divisors (9133656576).

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

3963555840 is a wasteful number, since it uses less digits than its factorization.

3963555840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 48.

The square root of 3963555840 is about 62956.7775541284. Note that the first 3 decimals coincide. The cubic root of 3963555840 is about 1582.5653779309.

The spelling of 3963555840 in words is "three billion, nine hundred sixty-three million, five hundred fifty-five thousand, eight hundred forty".