3356964 has 60 divisors (see below), whose sum is σ = 9462684. Its totient is φ = 1031616.

The previous prime is 3356933. The next prime is 3356971. The reversal of 3356964 is 4696533.

3356964 is a `hidden beast` number, since 33 + 569 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1016064 + 2340900 = 1008^2 + 1530^2 .

It is a super-2 number, since 2×3356964² = 22538414594592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3³ + 3¹³ + 5⁵ + 6⁵ + 9⁴ + 6⁸ + 4⁸ .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3814 + ... + 4610.

Almost surely, 2^3356964 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 3356964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4731342).

3356964 is an abundant number, since it is smaller than the sum of its proper divisors (6105720).

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

3356964 is a wasteful number, since it uses less digits than its factorization.

3356964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 815 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 3356964 is about 1832.2019539341. The cubic root of 3356964 is about 149.7323226096.

It can be divided in two parts, 33569 and 64, that added together give a palindrome (33633).

The spelling of 3356964 in words is "three million, three hundred fifty-six thousand, nine hundred sixty-four".