3687408280 has 64 divisors (see below), whose sum is σ = 8748000000. Its totient is φ = 1394987904.

The previous prime is 3687408269. The next prime is 3687408281. The reversal of 3687408280 is 828047863.

3687408280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3687408280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687408281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487971 + ... + 495469.

It is an arithmetic number, because the mean of its divisors is an integer number (136687500).

Almost surely, 2^3687408280 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 3687408280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374000000).

3687408280 is an abundant number, since it is smaller than the sum of its proper divisors (5060591720).

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

3687408280 is a wasteful number, since it uses less digits than its factorization.

3687408280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8176 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 3687408280 is about 60724.0337922309. The cubic root of 3687408280 is about 1544.9238421770.

The spelling of 3687408280 in words is "three billion, six hundred eighty-seven million, four hundred eight thousand, two hundred eighty".