3660229440 has 504 divisors, whose sum is σ = 15062389992. Its totient is φ = 812851200.

The previous prime is 3660229429. The next prime is 3660229451. The reversal of 3660229440 is 449220663.

3660229440 is a `hidden beast` number, since 3 + 6 + 602 + 2 + 9 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3660229429) and next prime (3660229451).

It can be written as a sum of positive squares in 4 ways, for example, as 1708003584 + 1952225856 = 41328^2 + 44184^2 .

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 3660229395 and 3660229404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5221090 + ... + 5221790.

Almost surely, 2^3660229440 is an apocalyptic number.

3660229440 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 3660229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7531194996).

3660229440 is an abundant number, since it is smaller than the sum of its proper divisors (11402160552).

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

3660229440 is a wasteful number, since it uses less digits than its factorization.

3660229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3660229440 is about 60499.8300824060. The cubic root of 3660229440 is about 1541.1187463089.

The spelling of 3660229440 in words is "three billion, six hundred sixty million, two hundred twenty-nine thousand, four hundred forty".