3681578472 has 384 divisors, whose sum is σ = 11826777600. Its totient is φ = 943488000.

The previous prime is 3681578447. The next prime is 3681578501. The reversal of 3681578472 is 2748751863.

Its product of digits (2257920) is a multiple of the sum of its prime divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36451222 + ... + 36451322.

It is an arithmetic number, because the mean of its divisors is an integer number (30798900).

Almost surely, 2^3681578472 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 3681578472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913388800).

3681578472 is an abundant number, since it is smaller than the sum of its proper divisors (8145199128).

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

3681578472 is a wasteful number, since it uses less digits than its factorization.

3681578472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 192 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The square root of 3681578472 is about 60676.0123277725. The cubic root of 3681578472 is about 1544.1092356964.

The spelling of 3681578472 in words is "three billion, six hundred eighty-one million, five hundred seventy-eight thousand, four hundred seventy-two".