3681466320 has 160 divisors (see below), whose sum is σ = 13063235328. Its totient is φ = 840167424.

The previous prime is 3681466241. The next prime is 3681466339. The reversal of 3681466320 is 236641863.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1438482 + ... + 1441038.

Almost surely, 2^3681466320 is an apocalyptic number.

3681466320 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 3681466320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531617664).

3681466320 is an abundant number, since it is smaller than the sum of its proper divisors (9381769008).

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

3681466320 is a wasteful number, since it uses less digits than its factorization.

3681466320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3437 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 3681466320 is about 60675.0881334341. The cubic root of 3681466320 is about 1544.0935561268.

The spelling of 3681466320 in words is "three billion, six hundred eighty-one million, four hundred sixty-six thousand, three hundred twenty".