3662009809920 has 3520 divisors, whose sum is σ = 17833935628800. Its totient is φ = 704037519360.

The previous prime is 3662009809919. The next prime is 3662009809921. The reversal of 3662009809920 is 299089002663.

3662009809920 is a `hidden beast` number, since 3 + 6 + 620 + 0 + 9 + 8 + 0 + 9 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3662009809919) and next prime (3662009809921).

It is a tau number, because it is divible by the number of its divisors (3520).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662009809921) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 62067962851 + ... + 62067962909.

Almost surely, 2^{3662009809920} is an apocalyptic number.

3662009809920 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 3662009809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916967814400).

3662009809920 is an abundant number, since it is smaller than the sum of its proper divisors (14171925818880).

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

3662009809920 is a wasteful number, since it uses less digits than its factorization.

3662009809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 3662009809920 in words is "three trillion, six hundred sixty-two billion, nine million, eight hundred nine thousand, nine hundred twenty".