3661466796288 has 288 divisors, whose sum is σ = 13025689241600. Its totient is φ = 991073470464.

The previous prime is 3661466796263. The next prime is 3661466796313. The reversal of 3661466796288 is 8826976641663.

3661466796288 is a `hidden beast` number, since 3 + 66 + 146 + 67 + 96 + 288 = 666.

It is an interprime number because it is at equal distance from previous prime (3661466796263) and next prime (3661466796313).

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072156 + ... + 2910747.

Almost surely, 2^{3661466796288} is an apocalyptic number.

3661466796288 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3661466796288 is an abundant number, since it is smaller than the sum of its proper divisors (9364222445312).

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

3661466796288 is a wasteful number, since it uses less digits than its factorization.

3661466796288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982954 (or 3982934 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 3661466796288 in words is "three trillion, six hundred sixty-one billion, four hundred sixty-six million, seven hundred ninety-six thousand, two hundred eighty-eight".