3355664 has 60 divisors (see below), whose sum is σ = 7556436. Its totient is φ = 1437696.

The previous prime is 3355663. The next prime is 3355669. The reversal of 3355664 is 4665533.

3355664 = T₇₁₂ + T₇₁₃ + ... + T₇₂₄.

It can be written as a sum of positive squares in 6 ways, for example, as 144400 + 3211264 = 380^2 + 1792^2 .

It is a super-2 number, since 2×3355664² = 22520961761792, which contains 22 as substring.

It is a d-powerful number, because it can be written as 3⁵ + 3¹³ + 5⁵ + 5⁷ + 6³ + 6⁸ + 4² .

It is a self number, because there is not a number n which added to its sum of digits gives 3355664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45932 + ... + 46004.

Almost surely, 2^3355664 is an apocalyptic number.

3355664 is a gapful number since it is divisible by the number (34) 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 3355664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778218).

3355664 is an abundant number, since it is smaller than the sum of its proper divisors (4200772).

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

3355664 is a wasteful number, since it uses less digits than its factorization.

3355664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its digits is 32400, while the sum is 32.

The square root of 3355664 is about 1831.8471551961. The cubic root of 3355664 is about 149.7129919335.

The spelling of 3355664 in words is "three million, three hundred fifty-five thousand, six hundred sixty-four".