3676487760 has 240 divisors, whose sum is σ = 13934643840. Its totient is φ = 860482560.

The previous prime is 3676487743. The next prime is 3676487791. The reversal of 3676487760 is 677846763.

3676487760 is a `hidden beast` number, since 36 + 76 + 487 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 3676487697 and 3676487706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221677 + ... + 237683.

It is an arithmetic number, because the mean of its divisors is an integer number (58061016).

Almost surely, 2^3676487760 is an apocalyptic number.

3676487760 is a gapful number since it is divisible by the number (30) 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 3676487760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967321920).

3676487760 is an abundant number, since it is smaller than the sum of its proper divisors (10258156080).

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

3676487760 is a wasteful number, since it uses less digits than its factorization.

3676487760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16066 (or 16057 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The square root of 3676487760 is about 60634.0478609172. The cubic root of 3676487760 is about 1543.3972004144.

The spelling of 3676487760 in words is "three billion, six hundred seventy-six million, four hundred eighty-seven thousand, seven hundred sixty".