3807440640 has 216 divisors, whose sum is σ = 13662365808. Its totient is φ = 1015234560.

The previous prime is 3807440617. The next prime is 3807440641. The reversal of 3807440640 is 460447083.

3807440640 is a `hidden beast` number, since 3 + 8 + 0 + 7 + 4 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a junction number, because it is equal to n+sod(n) for n = 3807440595 and 3807440604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3807440641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304920 + ... + 317160.

Almost surely, 2^3807440640 is an apocalyptic number.

3807440640 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 3807440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831182904).

3807440640 is an abundant number, since it is smaller than the sum of its proper divisors (9854925168).

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

3807440640 is an equidigital number, since it uses as much as digits as its factorization.

3807440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12277 (or 12251 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3807440640 is about 61704.4620752827. The cubic root of 3807440640 is about 1561.5085998081.

The spelling of 3807440640 in words is "three billion, eight hundred seven million, four hundred forty thousand, six hundred forty".