3681464580 has 192 divisors, whose sum is σ = 12279375360. Its totient is φ = 923788800.

The previous prime is 3681464561. The next prime is 3681464603. The reversal of 3681464580 is 854641863.

3681464580 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 4 + 64 + 580 = 666.

3681464580 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 741105 + ... + 746055.

It is an arithmetic number, because the mean of its divisors is an integer number (63955080).

Almost surely, 2^3681464580 is an apocalyptic number.

3681464580 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 3681464580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6139687680).

3681464580 is an abundant number, since it is smaller than the sum of its proper divisors (8597910780).

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

3681464580 is a wasteful number, since it uses less digits than its factorization.

3681464580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4998 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3681464580 is about 60675.0737947635. The cubic root of 3681464580 is about 1544.0933128612.

The spelling of 3681464580 in words is "three billion, six hundred eighty-one million, four hundred sixty-four thousand, five hundred eighty".