3669980160 has 704 divisors, whose sum is σ = 15280773120. Its totient is φ = 729415680.

The previous prime is 3669980129. The next prime is 3669980201. The reversal of 3669980160 is 610899663.

3669980160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34298827 + ... + 34298933.

Almost surely, 2^3669980160 is an apocalyptic number.

3669980160 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 3669980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640386560).

3669980160 is an abundant number, since it is smaller than the sum of its proper divisors (11610792960).

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

3669980160 is a wasteful number, since it uses less digits than its factorization.

3669980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 3669980160 is about 60580.3611742287. The cubic root of 3669980160 is about 1542.4860279261.

The spelling of 3669980160 in words is "three billion, six hundred sixty-nine million, nine hundred eighty thousand, one hundred sixty".