3876543240 has 64 divisors (see below), whose sum is σ = 11637000000. Its totient is φ = 1033089792.

The previous prime is 3876543233. The next prime is 3876543247. The reversal of 3876543240 is 423456783.

3876543240 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 (3876543233) and next prime (3876543247).

It is a junction number, because it is equal to n+sod(n) for n = 3876543192 and 3876543201.

It is not an unprimeable number, because it can be changed into a prime (3876543247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197386 + ... + 216134.

It is an arithmetic number, because the mean of its divisors is an integer number (181828125).

Almost surely, 2^3876543240 is an apocalyptic number.

3876543240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3876543240 is an abundant number, since it is smaller than the sum of its proper divisors (7760456760).

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

3876543240 is a wasteful number, since it uses less digits than its factorization.

3876543240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20486 (or 20482 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 3876543240 is about 62261.8923580066. The cubic root of 3876543240 is about 1570.8988105334.

It can be divided in two parts, 3876543 and 240, that added together give a palindrome (3876783).

The spelling of 3876543240 in words is "three billion, eight hundred seventy-six million, five hundred forty-three thousand, two hundred forty".