3861482240 has 432 divisors, whose sum is σ = 12205378080. Its totient is φ = 1156055040.

The previous prime is 3861482237. The next prime is 3861482267. The reversal of 3861482240 is 422841683.

It is a super-2 number, since 2×3861482240² = 29822090179670835200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3861482194 and 3861482203.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20007584 + ... + 20007776.

It is an arithmetic number, because the mean of its divisors is an integer number (28253190).

Almost surely, 2^3861482240 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 3861482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102689040).

3861482240 is an abundant number, since it is smaller than the sum of its proper divisors (8343895840).

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

3861482240 is a wasteful number, since it uses less digits than its factorization.

3861482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 3861482240 is about 62140.8258715637. The cubic root of 3861482240 is about 1568.8617711826.

The spelling of 3861482240 in words is "three billion, eight hundred sixty-one million, four hundred eighty-two thousand, two hundred forty".