3662130240 has 168 divisors, whose sum is σ = 12727030680. Its totient is φ = 966426624.

The previous prime is 3662130221. The next prime is 3662130271. The reversal of 3662130240 is 420312663.

3662130240 is a `hidden beast` number, since 3 + 6 + 621 + 30 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 201867264 + 3460262976 = 14208^2 + 58824^2 .

It is a super-2 number, since 2×3662130240² = 26822395789444915200, which contains 22 as substring.

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, 272806 + ... + 285914.

It is an arithmetic number, because the mean of its divisors is an integer number (75756135).

Almost surely, 2^3662130240 is an apocalyptic number.

3662130240 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 3662130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6363515340).

3662130240 is an abundant number, since it is smaller than the sum of its proper divisors (9064900440).

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

3662130240 is a wasteful number, since it uses less digits than its factorization.

3662130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13229 (or 13216 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3662130240 is about 60515.5371784800. The cubic root of 3662130240 is about 1541.3854738118.

The spelling of 3662130240 in words is "three billion, six hundred sixty-two million, one hundred thirty thousand, two hundred forty".