3353964 has 48 divisors (see below), whose sum is σ = 8509536. Its totient is φ = 1024000.

The previous prime is 3353927. The next prime is 3354007. The reversal of 3353964 is 4693533.

It is a super-2 number, since 2×3353964² = 22498149026592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8164 + ... + 8564.

It is an arithmetic number, because the mean of its divisors is an integer number (177282).

Almost surely, 2^3353964 is an apocalyptic number.

3353964 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 3353964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254768).

3353964 is an abundant number, since it is smaller than the sum of its proper divisors (5155572).

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

3353964 is a wasteful number, since it uses less digits than its factorization.

3353964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 464 counting only the distinct ones).

The product of its digits is 29160, while the sum is 33.

The square root of 3353964 is about 1831.3830839013. The cubic root of 3353964 is about 149.6877058224.

The spelling of 3353964 in words is "three million, three hundred fifty-three thousand, nine hundred sixty-four".