3472896 has 160 divisors (see below), whose sum is σ = 11784960. Its totient is φ = 884736.

The previous prime is 3472883. The next prime is 3472897. The reversal of 3472896 is 6982743.

It is a super-2 number, since 2×3472896² = 24122013253632, which contains 22 as substring.

Its product of digits (72576) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3472897) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182775 + ... + 182793.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

Almost surely, 2^3472896 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 3472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480).

3472896 is an abundant number, since it is smaller than the sum of its proper divisors (8312064).

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

3472896 is a wasteful number, since it uses less digits than its factorization.

3472896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 48 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 3472896 is about 1863.5707660296. The cubic root of 3472896 is about 151.4365101197.

The spelling of 3472896 in words is "three million, four hundred seventy-two thousand, eight hundred ninety-six".