3663161349120 has 2112 divisors, whose sum is σ = 17274914012160. Its totient is φ = 727125590016.

The previous prime is 3663161349109. The next prime is 3663161349157. The reversal of 3663161349120 is 219431613663.

It is a happy number.

3663161349120 is a `hidden beast` number, since 3 + 6 + 6 + 3 + 1 + 613 + 4 + 9 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1496999737 + ... + 1497002183.

Almost surely, 2^{3663161349120} is an apocalyptic number.

3663161349120 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 3663161349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637457006080).

3663161349120 is an abundant number, since it is smaller than the sum of its proper divisors (13611752663040).

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

3663161349120 is a wasteful number, since it uses less digits than its factorization.

3663161349120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2494 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 3663161349120 in words is "three trillion, six hundred sixty-three billion, one hundred sixty-one million, three hundred forty-nine thousand, one hundred twenty".