3878508240 has 120 divisors (see below), whose sum is σ = 13044868200. Its totient is φ = 1032717312.

The previous prime is 3878508203. The next prime is 3878508241. The reversal of 3878508240 is 428058783.

3878508240 is a `hidden beast` number, since 38 + 78 + 508 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1752929424 + 2125578816 = 41868^2 + 46104^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (3878508241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 524086 + ... + 531434.

It is an arithmetic number, because the mean of its divisors is an integer number (108707235).

Almost surely, 2^3878508240 is an apocalyptic number.

3878508240 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 3878508240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522434100).

3878508240 is an abundant number, since it is smaller than the sum of its proper divisors (9166359960).

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

3878508240 is a wasteful number, since it uses less digits than its factorization.

3878508240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8101 (or 8092 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3878508240 is about 62277.6704766644. The cubic root of 3878508240 is about 1571.1641925636.

The spelling of 3878508240 in words is "three billion, eight hundred seventy-eight million, five hundred eight thousand, two hundred forty".