3863431040 has 256 divisors, whose sum is σ = 11051251200. Its totient is φ = 1263575040.

The previous prime is 3863431031. The next prime is 3863431051. The reversal of 3863431040 is 401343683.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 3863430988 and 3863431006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17019407 + ... + 17019633.

It is an arithmetic number, because the mean of its divisors is an integer number (43168950).

Almost surely, 2^3863431040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3863431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5525625600).

3863431040 is an abundant number, since it is smaller than the sum of its proper divisors (7187820160).

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

3863431040 is a wasteful number, since it uses less digits than its factorization.

3863431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 3863431040 is about 62156.5044062164. The cubic root of 3863431040 is about 1569.1256494416.

The spelling of 3863431040 in words is "three billion, eight hundred sixty-three million, four hundred thirty-one thousand, forty".