3621107268 has 144 divisors (see below), whose sum is σ = 9850486464. Its totient is φ = 1162200960.

The previous prime is 3621107263. The next prime is 3621107309. The reversal of 3621107268 is 8627011263.

3621107268 is a `hidden beast` number, since 3 + 621 + 1 + 0 + 7 + 26 + 8 = 666.

It is a super-2 number, since 2×3621107268² = 26224835692724847648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3621107263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3847678 + ... + 3848618.

It is an arithmetic number, because the mean of its divisors is an integer number (68406156).

Almost surely, 2^3621107268 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 3621107268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925243232).

3621107268 is an abundant number, since it is smaller than the sum of its proper divisors (6229379196).

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

3621107268 is a wasteful number, since it uses less digits than its factorization.

3621107268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 3621107268 is about 60175.6368308637. The cubic root of 3621107268 is about 1535.6083443564.

It can be divided in two parts, 3621 and 107268, that added together give a square (110889 = 333²).

The spelling of 3621107268 in words is "three billion, six hundred twenty-one million, one hundred seven thousand, two hundred sixty-eight".