3665939472000 has 1280 divisors, whose sum is σ = 15137887564800. Its totient is φ = 873151488000.

The previous prime is 3665939471989. The next prime is 3665939472017. The reversal of 3665939472000 is 2749395663.

3665939472000 is a `hidden beast` number, since 3 + 6 + 6 + 593 + 9 + 47 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3665939472000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 522284491 + ... + 522291509.

It is an arithmetic number, because the mean of its divisors is an integer number (11826474660).

Almost surely, 2^{3665939472000} is an apocalyptic number.

3665939472000 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 3665939472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7568943782400).

3665939472000 is an abundant number, since it is smaller than the sum of its proper divisors (11471948092800).

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

3665939472000 is a wasteful number, since it uses less digits than its factorization.

3665939472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 3665939472000 in words is "three trillion, six hundred sixty-five billion, nine hundred thirty-nine million, four hundred seventy-two thousand".