3806457840 has 160 divisors (see below), whose sum is σ = 13164068160. Its totient is φ = 1010958336.

The previous prime is 3806457839. The next prime is 3806457847. The reversal of 3806457840 is 487546083.

3806457840 is a `hidden beast` number, since 38 + 0 + 6 + 4 + 578 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806457847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551692 + ... + 558548.

It is an arithmetic number, because the mean of its divisors is an integer number (82275426).

Almost surely, 2^3806457840 is an apocalyptic number.

3806457840 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 3806457840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582034080).

3806457840 is an abundant number, since it is smaller than the sum of its proper divisors (9357610320).

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

3806457840 is a wasteful number, since it uses less digits than its factorization.

3806457840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7136 (or 7124 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3806457840 is about 61696.4977936349. The cubic root of 3806457840 is about 1561.3742328444.

The spelling of 3806457840 in words is "three billion, eight hundred six million, four hundred fifty-seven thousand, eight hundred forty".