3613248000 has 800 divisors, whose sum is σ = 14598471888. Its totient is φ = 884736000.

The previous prime is 3613247977. The next prime is 3613248013. The reversal of 3613248000 is 8423163.

It is a happy number.

3613248000 is a `hidden beast` number, since 3 + 613 + 2 + 48 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7485696 + 3605762304 = 2736^2 + 60048^2 .

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×3613248000² = 26111122219008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88127980 + ... + 88128020.

Almost surely, 2^3613248000 is an apocalyptic number.

3613248000 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 3613248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299235944).

3613248000 is an abundant number, since it is smaller than the sum of its proper divisors (10985223888).

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

3613248000 is an equidigital number, since it uses as much as digits as its factorization.

3613248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3613248000 is about 60110.2986184564. The cubic root of 3613248000 is about 1534.4965758159.

The spelling of 3613248000 in words is "three billion, six hundred thirteen million, two hundred forty-eight thousand".