3621120 has 144 divisors (see below), whose sum is σ = 12362112. Its totient is φ = 901120.

The previous prime is 3621113. The next prime is 3621127. The reversal of 3621120 is 211263.

It is an interprime number because it is at equal distance from previous prime (3621113) and next prime (3621127).

It is a super-2 number, since 2×3621120² = 26225020108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3621120.

It is not an unprimeable number, because it can be changed into a prime (3621127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88300 + ... + 88340.

It is an arithmetic number, because the mean of its divisors is an integer number (85848).

Almost surely, 2^3621120 is an apocalyptic number.

3621120 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 3621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056).

3621120 is an abundant number, since it is smaller than the sum of its proper divisors (8740992).

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

3621120 is a wasteful number, since it uses less digits than its factorization.

3621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3621120 is about 1902.9240657472. The cubic root of 3621120 is about 153.5610144114.

Adding to 3621120 its reverse (211263), we get a palindrome (3832383).

It can be divided in two parts, 3621 and 120, that added together give a triangular number (3741 = T₈₆).

The spelling of 3621120 in words is "three million, six hundred twenty-one thousand, one hundred twenty".