3865302720 has 448 divisors, whose sum is σ = 14536765440. Its totient is φ = 964694016.

The previous prime is 3865302709. The next prime is 3865302731. The reversal of 3865302720 is 272035683.

3865302720 is a `hidden beast` number, since 3 + 86 + 530 + 27 + 20 = 666.

3865302720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3865302709) and next prime (3865302731).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10531977 + ... + 10532343.

Almost surely, 2^3865302720 is an apocalyptic number.

3865302720 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 3865302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268382720).

3865302720 is an abundant number, since it is smaller than the sum of its proper divisors (10671462720).

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

3865302720 is a wasteful number, since it uses less digits than its factorization.

3865302720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3865302720 is about 62171.5587708721. The cubic root of 3865302720 is about 1569.3790017013.

The spelling of 3865302720 in words is "three billion, eight hundred sixty-five million, three hundred two thousand, seven hundred twenty".