3671088480 has 144 divisors (see below), whose sum is σ = 12991711824. Its totient is φ = 978946560.

The previous prime is 3671088457. The next prime is 3671088503. The reversal of 3671088480 is 848801763.

3671088480 is a `hidden beast` number, since 3 + 67 + 108 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (3671088457) and next prime (3671088503).

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 8331 + ... + 86090.

It is an arithmetic number, because the mean of its divisors is an integer number (90220221).

Almost surely, 2^3671088480 is an apocalyptic number.

3671088480 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 3671088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495855912).

3671088480 is an abundant number, since it is smaller than the sum of its proper divisors (9320623344).

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

3671088480 is an equidigital number, since it uses as much as digits as its factorization.

3671088480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94451 (or 94431 counting only the distinct ones).

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

The square root of 3671088480 is about 60589.5080026237. The cubic root of 3671088480 is about 1542.6412872621.

The spelling of 3671088480 in words is "three billion, six hundred seventy-one million, eighty-eight thousand, four hundred eighty".