3660144192 has 448 divisors, whose sum is σ = 12231014400. Its totient is φ = 1067489280.

The previous prime is 3660144167. The next prime is 3660144193. The reversal of 3660144192 is 2914410663.

3660144192 is a `hidden beast` number, since 3 + 6 + 601 + 4 + 41 + 9 + 2 = 666.

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 (3660144193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27939967 + ... + 27940097.

Almost surely, 2^3660144192 is an apocalyptic number.

3660144192 is a gapful number since it is divisible by the number (32) 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 3660144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115507200).

3660144192 is an abundant number, since it is smaller than the sum of its proper divisors (8570870208).

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

3660144192 is a wasteful number, since it uses less digits than its factorization.

3660144192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3660144192 is about 60499.1255473994. The cubic root of 3660144192 is about 1541.1067818212.

The spelling of 3660144192 in words is "three billion, six hundred sixty million, one hundred forty-four thousand, one hundred ninety-two".