3133620 has 96 divisors (see below), whose sum is σ = 11155200. Its totient is φ = 715392.

The previous prime is 3133609. The next prime is 3133633. The reversal of 3133620 is 263313.

It is a happy number.

3133620 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

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

3133620 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 3133593 and 3133602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3366 + ... + 4194.

It is an arithmetic number, because the mean of its divisors is an integer number (116200).

Almost surely, 2^3133620 is an apocalyptic number.

3133620 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 3133620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577600).

3133620 is an abundant number, since it is smaller than the sum of its proper divisors (8021580).

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

3133620 is a wasteful number, since it uses less digits than its factorization.

3133620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3133620 is about 1770.2033781461. The cubic root of 3133620 is about 146.3351903409.

Adding to 3133620 its reverse (263313), we get a palindrome (3396933).

The spelling of 3133620 in words is "three million, one hundred thirty-three thousand, six hundred twenty".