3620165120 has 480 divisors, whose sum is σ = 10971797760. Its totient is φ = 1135411200.

The previous prime is 3620165117. The next prime is 3620165167. The reversal of 3620165120 is 215610263.

It is a super-3 number, since 3×3620165120³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3620165120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116779505 + ... + 116779535.

It is an arithmetic number, because the mean of its divisors is an integer number (22857912).

Almost surely, 2^3620165120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3620165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485898880).

3620165120 is an abundant number, since it is smaller than the sum of its proper divisors (7351632640).

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

3620165120 is a wasteful number, since it uses less digits than its factorization.

3620165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 3620165120 is about 60167.8080039484. The cubic root of 3620165120 is about 1535.4751534366.

Adding to 3620165120 its reverse (215610263), we get a palindrome (3835775383).

The spelling of 3620165120 in words is "three billion, six hundred twenty million, one hundred sixty-five thousand, one hundred twenty".