3662116920 has 672 divisors, whose sum is σ = 15744708720. Its totient is φ = 757693440.

The previous prime is 3662116919. The next prime is 3662116963. The reversal of 3662116920 is 296112663.

It is a happy number.

3662116920 is a `hidden beast` number, since 3 + 6 + 621 + 1 + 6 + 9 + 20 = 666.

3662116920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3662116920² = 26822200671500572800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 15717124 + ... + 15717356.

Almost surely, 2^3662116920 is an apocalyptic number.

3662116920 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 3662116920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7872354360).

3662116920 is an abundant number, since it is smaller than the sum of its proper divisors (12082591800).

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

3662116920 is a wasteful number, since it uses less digits than its factorization.

3662116920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3662116920 is about 60515.4271239987. The cubic root of 3662116920 is about 1541.3836050198.

The spelling of 3662116920 in words is "three billion, six hundred sixty-two million, one hundred sixteen thousand, nine hundred twenty".