3660733440 has 880 divisors, whose sum is σ = 16311675072. Its totient is φ = 764411904.

The previous prime is 3660733393. The next prime is 3660733441. The reversal of 3660733440 is 443370663.

3660733440 is a `hidden beast` number, since 3 + 6 + 607 + 3 + 3 + 4 + 40 = 666.

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 = 3660733395 and 3660733404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3660733441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739472 + ... + 37739568.

Almost surely, 2^3660733440 is an apocalyptic number.

3660733440 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 3660733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155837536).

3660733440 is an abundant number, since it is smaller than the sum of its proper divisors (12650941632).

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

3660733440 is a wasteful number, since it uses less digits than its factorization.

3660733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

The square root of 3660733440 is about 60503.9952399839. The cubic root of 3660733440 is about 1541.1894785051.

The spelling of 3660733440 in words is "three billion, six hundred sixty million, seven hundred thirty-three thousand, four hundred forty".