3432960 has 120 divisors (see below), whose sum is σ = 11969100. Its totient is φ = 909312.

The previous prime is 3432959. The next prime is 3432967. The reversal of 3432960 is 692343.

It can be written as a sum of positive squares in 2 ways, for example, as 3154176 + 278784 = 1776^2 + 528^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (3432967) 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, 22966 + ... + 23114.

Almost surely, 2^3432960 is an apocalyptic number.

3432960 is a gapful number since it is divisible by the number (30) 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 3432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984550).

3432960 is an abundant number, since it is smaller than the sum of its proper divisors (8536140).

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

3432960 is a wasteful number, since it uses less digits than its factorization.

3432960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3432960 is about 1852.8248702994. The cubic root of 3432960 is about 150.8537976433.

The spelling of 3432960 in words is "three million, four hundred thirty-two thousand, nine hundred sixty".