3661245360 has 200 divisors, whose sum is σ = 13155207120. Its totient is φ = 942617088.

The previous prime is 3661245311. The next prime is 3661245361. The reversal of 3661245360 is 635421663.

3661245360 is a `hidden beast` number, since 3 + 6 + 612 + 4 + 5 + 36 + 0 = 666.

3661245360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3661245360² = 26809435172243059200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3661245361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178179 + ... + 197661.

Almost surely, 2^3661245360 is an apocalyptic number.

3661245360 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 3661245360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577603560).

3661245360 is an abundant number, since it is smaller than the sum of its proper divisors (9493961760).

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

3661245360 is a wasteful number, since it uses less digits than its factorization.

3661245360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19537 (or 19522 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3661245360 is about 60508.2255565307. The cubic root of 3661245360 is about 1541.2613155615.

The spelling of 3661245360 in words is "three billion, six hundred sixty-one million, two hundred forty-five thousand, three hundred sixty".