3687789024 has 72 divisors (see below), whose sum is σ = 10505149200. Its totient is φ = 1227153408.

The previous prime is 3687789011. The next prime is 3687789029. The reversal of 3687789024 is 4209877863.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687789029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 161824 + ... + 183200.

It is an arithmetic number, because the mean of its divisors is an integer number (145904850).

Almost surely, 2^3687789024 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 3687789024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252574600).

3687789024 is an abundant number, since it is smaller than the sum of its proper divisors (6817360176).

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

3687789024 is a wasteful number, since it uses less digits than its factorization.

3687789024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21992 (or 21981 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 3687789024 is about 60727.1687467809. The cubic root of 3687789024 is about 1544.9770141426.

The spelling of 3687789024 in words is "three billion, six hundred eighty-seven million, seven hundred eighty-nine thousand, twenty-four".