3353952 has 144 divisors (see below), whose sum is σ = 11031552. Its totient is φ = 887040.

The previous prime is 3353927. The next prime is 3354007. The reversal of 3353952 is 2593533.

It is a super-2 number, since 2×3353952² = 22497988036608, which contains 22 as substring.

It is an Ulam number.

Its product of digits (12150) is a multiple of the sum of its prime factors (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108177 + ... + 108207.

It is an arithmetic number, because the mean of its divisors is an integer number (76608).

Almost surely, 2^3353952 is an apocalyptic number.

3353952 is a gapful number since it is divisible by the number (32) 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 3353952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515776).

3353952 is an abundant number, since it is smaller than the sum of its proper divisors (7677600).

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

3353952 is a wasteful number, since it uses less digits than its factorization.

3353952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its digits is 12150, while the sum is 30.

The square root of 3353952 is about 1831.3798076860. The cubic root of 3353952 is about 149.6875273019.

The spelling of 3353952 in words is "three million, three hundred fifty-three thousand, nine hundred fifty-two".