3925635840 has 504 divisors, whose sum is σ = 16139080608. Its totient is φ = 895795200.

The previous prime is 3925635839. The next prime is 3925635841. The reversal of 3925635840 is 485365293.

3925635840 is a `hidden beast` number, since 3 + 9 + 2 + 5 + 63 + 584 + 0 = 666.

3925635840 is digitally balanced in base 2, because in such base 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 (3925635839) and next prime (3925635841).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (3925635841) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 6531540 + ... + 6532140.

Almost surely, 2^3925635840 is an apocalyptic number.

3925635840 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 3925635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8069540304).

3925635840 is an abundant number, since it is smaller than the sum of its proper divisors (12213444768).

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

3925635840 is an frugal number, since it uses more digits than its factorization.

3925635840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3925635840 is about 62654.8947808549. The cubic root of 3925635840 is about 1577.5023080244.

The spelling of 3925635840 in words is "three billion, nine hundred twenty-five million, six hundred thirty-five thousand, eight hundred forty".