3613201020 has 336 divisors, whose sum is σ = 13372968672. Its totient is φ = 808081920.

The previous prime is 3613201013. The next prime is 3613201021. The reversal of 3613201020 is 201023163.

3613201020 is a `hidden beast` number, since 3 + 613 + 20 + 10 + 20 = 666.

It is a super-2 number, since 2×3613201020² = 26110443221858080800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3613200984 and 3613201002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3613201021) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2084074 + ... + 2085806.

It is an arithmetic number, because the mean of its divisors is an integer number (39800502).

Almost surely, 2^3613201020 is an apocalyptic number.

3613201020 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 3613201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686484336).

3613201020 is an abundant number, since it is smaller than the sum of its proper divisors (9759767652).

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

3613201020 is a wasteful number, since it uses less digits than its factorization.

3613201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3613201020 is about 60109.9078355640. The cubic root of 3613201020 is about 1534.4899252011.

Adding to 3613201020 its reverse (201023163), we get a palindrome (3814224183).

The spelling of 3613201020 in words is "three billion, six hundred thirteen million, two hundred one thousand, twenty".