3618861120 has 336 divisors, whose sum is σ = 14426305920. Its totient is φ = 815505408.

The previous prime is 3618861097. The next prime is 3618861121. The reversal of 3618861120 is 211688163.

3618861120 is a `hidden beast` number, since 3 + 6 + 18 + 8 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 (3618861121) 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, 1470451 + ... + 1472909.

Almost surely, 2^3618861120 is an apocalyptic number.

3618861120 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 3618861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213152960).

3618861120 is an abundant number, since it is smaller than the sum of its proper divisors (10807444800).

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

3618861120 is a wasteful number, since it uses less digits than its factorization.

3618861120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2562 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 3618861120 is about 60156.9706684105. The cubic root of 3618861120 is about 1535.2907695766.

The spelling of 3618861120 in words is "three billion, six hundred eighteen million, eight hundred sixty-one thousand, one hundred twenty".