3805451640 has 96 divisors (see below), whose sum is σ = 12380331600. Its totient is φ = 1013752320.

The previous prime is 3805451623. The next prime is 3805451641. The reversal of 3805451640 is 461545083.

It is a happy number.

3805451640 is a `hidden beast` number, since 3 + 8 + 0 + 5 + 4 + 5 + 1 + 640 = 666.

3805451640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3805451595 and 3805451604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3805451641) 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, 387916 + ... + 397604.

Almost surely, 2^3805451640 is an apocalyptic number.

3805451640 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 3805451640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190165800).

3805451640 is an abundant number, since it is smaller than the sum of its proper divisors (8574879960).

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

3805451640 is a wasteful number, since it uses less digits than its factorization.

3805451640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10797 (or 10790 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3805451640 is about 61688.3428209901. The cubic root of 3805451640 is about 1561.2366427041.

The spelling of 3805451640 in words is "three billion, eight hundred five million, four hundred fifty-one thousand, six hundred forty".