3627480096 has 72 divisors (see below), whose sum is σ = 10385001900. Its totient is φ = 1201030656.

The previous prime is 3627480091. The next prime is 3627480127. The reversal of 3627480096 is 6900847263.

It can be written as a sum of positive squares in 2 ways, for example, as 2977230096 + 650250000 = 54564^2 + 25500^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3627480096² = 26317223693752338432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3627480091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 646 + ... + 85178.

Almost surely, 2^3627480096 is an apocalyptic number.

3627480096 is a gapful number since it is divisible by the number (36) 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 3627480096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192500950).

3627480096 is an abundant number, since it is smaller than the sum of its proper divisors (6757521804).

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

3627480096 is a wasteful number, since it uses less digits than its factorization.

3627480096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84698 (or 84687 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3627480096 is about 60228.5654486308. The cubic root of 3627480096 is about 1536.5086612859.

The spelling of 3627480096 in words is "three billion, six hundred twenty-seven million, four hundred eighty thousand, ninety-six".