3355872 has 48 divisors (see below), whose sum is σ = 9490320. Its totient is φ = 1032192.

The previous prime is 3355871. The next prime is 3355873. The reversal of 3355872 is 2785533.

It is an interprime number because it is at equal distance from previous prime (3355871) and next prime (3355873).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3355872² = 22523753760768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3355871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97 + ... + 2592.

It is an arithmetic number, because the mean of its divisors is an integer number (197715).

Almost surely, 2^3355872 is an apocalyptic number.

3355872 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 3355872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745160).

3355872 is an abundant number, since it is smaller than the sum of its proper divisors (6134448).

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

3355872 is a wasteful number, since it uses less digits than its factorization.

3355872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2715 (or 2707 counting only the distinct ones).

The product of its digits is 25200, while the sum is 33.

The square root of 3355872 is about 1831.9039276119. The cubic root of 3355872 is about 149.7160851771.

The spelling of 3355872 in words is "three million, three hundred fifty-five thousand, eight hundred seventy-two".