3706893872 has 80 divisors (see below), whose sum is σ = 8009204640. Its totient is φ = 1647820800.

The previous prime is 3706893859. The next prime is 3706893889. The reversal of 3706893872 is 2783986073.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2071154 + ... + 2072942.

It is an arithmetic number, because the mean of its divisors is an integer number (100115058).

Almost surely, 2^3706893872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3706893872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004602320).

3706893872 is an abundant number, since it is smaller than the sum of its proper divisors (4302310768).

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

3706893872 is a wasteful number, since it uses less digits than its factorization.

3706893872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 53.

The square root of 3706893872 is about 60884.2662105736. The cubic root of 3706893872 is about 1547.6403738749.

The spelling of 3706893872 in words is "three billion, seven hundred six million, eight hundred ninety-three thousand, eight hundred seventy-two".