3872953008 has 240 divisors, whose sum is σ = 12116188800. Its totient is φ = 1181174400.

The previous prime is 3872952983. The next prime is 3872953033. The reversal of 3872953008 is 8003592783.

It is an interprime number because it is at equal distance from previous prime (3872952983) and next prime (3872953033).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7887643 + ... + 7888133.

It is an arithmetic number, because the mean of its divisors is an integer number (50484120).

Almost surely, 2^3872953008 is an apocalyptic number.

3872953008 is a gapful number since it is divisible by the number (38) 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 3872953008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058094400).

3872953008 is an abundant number, since it is smaller than the sum of its proper divisors (8243235792).

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

3872953008 is a wasteful number, since it uses less digits than its factorization.

3872953008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 3872953008 is about 62233.0539825903. The cubic root of 3872953008 is about 1570.4137019509.

The spelling of 3872953008 in words is "three billion, eight hundred seventy-two million, nine hundred fifty-three thousand, eight".