3660193440 has 288 divisors, whose sum is σ = 13526170560. Its totient is φ = 924286464.

The previous prime is 3660193429. The next prime is 3660193447. The reversal of 3660193440 is 443910663.

3660193440 is a `hidden beast` number, since 3 + 6 + 601 + 9 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 3660193395 and 3660193404.

It is not an unprimeable number, because it can be changed into a prime (3660193447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1558347 + ... + 1560693.

It is an arithmetic number, because the mean of its divisors is an integer number (46965870).

Almost surely, 2^3660193440 is an apocalyptic number.

3660193440 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 3660193440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6763085280).

3660193440 is an abundant number, since it is smaller than the sum of its proper divisors (9865977120).

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

3660193440 is a wasteful number, since it uses less digits than its factorization.

3660193440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3660193440 is about 60499.5325601777. The cubic root of 3660193440 is about 1541.1136937607.

The spelling of 3660193440 in words is "three billion, six hundred sixty million, one hundred ninety-three thousand, four hundred forty".