3864797640 has 192 divisors, whose sum is σ = 14298560640. Its totient is φ = 896163840.

The previous prime is 3864797633. The next prime is 3864797653. The reversal of 3864797640 is 467974683.

It is a happy number.

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, 69864 + ... + 112296.

It is an arithmetic number, because the mean of its divisors is an integer number (74471670).

Almost surely, 2^3864797640 is an apocalyptic number.

3864797640 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 3864797640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149280320).

3864797640 is an abundant number, since it is smaller than the sum of its proper divisors (10433763000).

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

3864797640 is a wasteful number, since it uses less digits than its factorization.

3864797640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42484 (or 42477 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3864797640 is about 62167.4966521896. The cubic root of 3864797640 is about 1569.3106416846.

The spelling of 3864797640 in words is "three billion, eight hundred sixty-four million, seven hundred ninety-seven thousand, six hundred forty".