3685578880 has 256 divisors, whose sum is σ = 9678216960. Its totient is φ = 1338163200.

The previous prime is 3685578851. The next prime is 3685578887. The reversal of 3685578880 is 888755863.

3685578880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3685578887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36490830 + ... + 36490930.

It is an arithmetic number, because the mean of its divisors is an integer number (37805535).

Almost surely, 2^3685578880 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 3685578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4839108480).

3685578880 is an abundant number, since it is smaller than the sum of its proper divisors (5992638080).

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

3685578880 is a wasteful number, since it uses less digits than its factorization.

3685578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 58.

The square root of 3685578880 is about 60708.9686949136. The cubic root of 3685578880 is about 1544.6683102890.

The spelling of 3685578880 in words is "three billion, six hundred eighty-five million, five hundred seventy-eight thousand, eight hundred eighty".