3678610880 has 224 divisors, whose sum is σ = 10293559296. Its totient is φ = 1226244096.

The previous prime is 3678610867. The next prime is 3678610933. The reversal of 3678610880 is 880168763.

It is a tau number, because it is divible by the number of its divisors (224).

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, 19060064 + ... + 19060256.

Almost surely, 2^3678610880 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 3678610880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5146779648).

3678610880 is an abundant number, since it is smaller than the sum of its proper divisors (6614948416).

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

3678610880 is a wasteful number, since it uses less digits than its factorization.

3678610880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 47.

The square root of 3678610880 is about 60651.5529891857. The cubic root of 3678610880 is about 1543.6942399721.

The spelling of 3678610880 in words is "three billion, six hundred seventy-eight million, six hundred ten thousand, eight hundred eighty".