3671228880 has 640 divisors, whose sum is σ = 14945472000. Its totient is φ = 818380800.

The previous prime is 3671228839. The next prime is 3671228893. The reversal of 3671228880 is 888221763.

3671228880 is a `hidden beast` number, since 367 + 1 + 2 + 288 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24639046 + ... + 24639194.

It is an arithmetic number, because the mean of its divisors is an integer number (23352300).

Almost surely, 2^3671228880 is an apocalyptic number.

3671228880 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 3671228880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472736000).

3671228880 is an abundant number, since it is smaller than the sum of its proper divisors (11274243120).

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

3671228880 is a wasteful number, since it uses less digits than its factorization.

3671228880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 3671228880 is about 60590.6666079851. Note that the first 4 decimals coincide. The cubic root of 3671228880 is about 1542.6609530077.

The spelling of 3671228880 in words is "three billion, six hundred seventy-one million, two hundred twenty-eight thousand, eight hundred eighty".