3611949120 has 504 divisors, whose sum is σ = 13857027912. Its totient is φ = 862617600.

The previous prime is 3611949073. The next prime is 3611949137. The reversal of 3611949120 is 219491163.

It is a happy number.

3611949120 is a `hidden beast` number, since 36 + 119 + 491 + 20 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3579868224 + 32080896 = 59832^2 + 5664^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19955430 + ... + 19955610.

It is an arithmetic number, because the mean of its divisors is an integer number (27494103).

Almost surely, 2^3611949120 is an apocalyptic number.

3611949120 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 3611949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6928513956).

3611949120 is an abundant number, since it is smaller than the sum of its proper divisors (10245078792).

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

3611949120 is a wasteful number, since it uses less digits than its factorization.

3611949120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 3611949120 is about 60099.4935086811. The cubic root of 3611949120 is about 1534.3126816401.

The spelling of 3611949120 in words is "three billion, six hundred eleven million, nine hundred forty-nine thousand, one hundred twenty".