3358432 has 96 divisors (see below), whose sum is σ = 8709120. Its totient is φ = 1236480.

The previous prime is 3358423. The next prime is 3358441. The reversal of 3358432 is 2348533.

It is an interprime number because it is at equal distance from previous prime (3358423) and next prime (3358441).

It is a super-2 number, since 2×3358432² = 22558130997248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (8640) is a multiple of the sum of its prime divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3358432.

It is a congruent number.

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, 71433 + ... + 71479.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

Almost surely, 2^3358432 is an apocalyptic number.

3358432 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 3358432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4354560).

3358432 is an abundant number, since it is smaller than the sum of its proper divisors (5350688).

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

3358432 is a wasteful number, since it uses less digits than its factorization.

3358432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 96 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 3358432 is about 1832.6025210067. The cubic root of 3358432 is about 149.7541454051.

The spelling of 3358432 in words is "three million, three hundred fifty-eight thousand, four hundred thirty-two".