3237887872 has 64 divisors (see below), whose sum is σ = 6602990400. Its totient is φ = 1580959744.

The previous prime is 3237887867. The next prime is 3237887893. The reversal of 3237887872 is 2787887323.

It is a happy number.

3237887872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1620378 + ... + 1622374.

It is an arithmetic number, because the mean of its divisors is an integer number (103171725).

Almost surely, 2^3237887872 is an apocalyptic number.

3237887872 is a gapful number since it is divisible by the number (32) 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 3237887872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301495200).

3237887872 is an abundant number, since it is smaller than the sum of its proper divisors (3365102528).

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

3237887872 is a wasteful number, since it uses less digits than its factorization.

3237887872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2303 (or 2291 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 55.

The square root of 3237887872 is about 56902.4417050798. The cubic root of 3237887872 is about 1479.4056342355.

The spelling of 3237887872 in words is "three billion, two hundred thirty-seven million, eight hundred eighty-seven thousand, eight hundred seventy-two".