3876848640 has 792 divisors, whose sum is σ = 16709366232. Its totient is φ = 825753600.

The previous prime is 3876848639. The next prime is 3876848663. The reversal of 3876848640 is 468486783.

It can be written as a sum of positive squares in 4 ways, for example, as 1849688064 + 2027160576 = 43008^2 + 45024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38384590 + ... + 38384690.

Almost surely, 2^3876848640 is an apocalyptic number.

3876848640 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 3876848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8354683116).

3876848640 is an abundant number, since it is smaller than the sum of its proper divisors (12832517592).

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

3876848640 is a wasteful number, since it uses less digits than its factorization.

3876848640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 3876848640 is about 62264.3448532143. The cubic root of 3876848640 is about 1570.9400620531.

The spelling of 3876848640 in words is "three billion, eight hundred seventy-six million, eight hundred forty-eight thousand, six hundred forty".