3438648 has 48 divisors (see below), whose sum is σ = 9402120. Its totient is φ = 1135296.

The previous prime is 3438647. The next prime is 3438649. The reversal of 3438648 is 8468343.

3438648 is a `hidden beast` number, since 3 + 4 + 3 + 8 + 648 = 666.

It is an interprime number because it is at equal distance from previous prime (3438647) and next prime (3438649).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438647) 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, 11590 + ... + 11882.

Almost surely, 2^3438648 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 3438648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4701060).

3438648 is an abundant number, since it is smaller than the sum of its proper divisors (5963472).

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

3438648 is a wasteful number, since it uses less digits than its factorization.

3438648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 461 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3438648 is about 1854.3591885069. The cubic root of 3438648 is about 150.9370671772.

The spelling of 3438648 in words is "three million, four hundred thirty-eight thousand, six hundred forty-eight".