3610378240 has 144 divisors (see below), whose sum is σ = 9915296832. Its totient is φ = 1236271104.

The previous prime is 3610378223. The next prime is 3610378243. The reversal of 3610378240 is 428730163.

It is a happy number.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3610378196 and 3610378205.

It is not an unprimeable number, because it can be changed into a prime (3610378243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4587127 + ... + 4587913.

It is an arithmetic number, because the mean of its divisors is an integer number (68856228).

Almost surely, 2^3610378240 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 3610378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4957648416).

3610378240 is an abundant number, since it is smaller than the sum of its proper divisors (6304918592).

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

3610378240 is an frugal number, since it uses more digits than its factorization.

3610378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 3610378240 is about 60086.4230920763. The cubic root of 3610378240 is about 1534.0902190564.

The spelling of 3610378240 in words is "three billion, six hundred ten million, three hundred seventy-eight thousand, two hundred forty".