3707883872 has 288 divisors, whose sum is σ = 9981812736. Its totient is φ = 1316044800.

The previous prime is 3707883853. The next prime is 3707883901. The reversal of 3707883872 is 2783887073.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29195873 + ... + 29195999.

It is an arithmetic number, because the mean of its divisors is an integer number (34659072).

Almost surely, 2^3707883872 is an apocalyptic number.

3707883872 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 3707883872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990906368).

3707883872 is an abundant number, since it is smaller than the sum of its proper divisors (6273928864).

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

3707883872 is a wasteful number, since it uses less digits than its factorization.

3707883872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 53.

The square root of 3707883872 is about 60892.3958471006. The cubic root of 3707883872 is about 1547.7781376959.

The spelling of 3707883872 in words is "three billion, seven hundred seven million, eight hundred eighty-three thousand, eight hundred seventy-two".