3671408 has 40 divisors (see below), whose sum is σ = 8072400. Its totient is φ = 1603584.

The previous prime is 3671401. The next prime is 3671411. The reversal of 3671408 is 8041763.

It is a super-3 number, since 3×3671408³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3671401) 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, 3488 + ... + 4416.

It is an arithmetic number, because the mean of its divisors is an integer number (201810).

Almost surely, 2^3671408 is an apocalyptic number.

3671408 is a gapful number since it is divisible by the number (38) 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 3671408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4036200).

3671408 is an abundant number, since it is smaller than the sum of its proper divisors (4400992).

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

3671408 is a wasteful number, since it uses less digits than its factorization.

3671408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 3671408 is about 1916.0918558357. The cubic root of 3671408 is about 154.2686041513.

The spelling of 3671408 in words is "three million, six hundred seventy-one thousand, four hundred eight".