3671640 has 192 divisors, whose sum is σ = 14376960. Its totient is φ = 794880.

The previous prime is 3671627. The next prime is 3671663. The reversal of 3671640 is 461763.

3671640 = 6² + 7² + ... + 222².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78097 + ... + 78143.

It is an arithmetic number, because the mean of its divisors is an integer number (74880).

Almost surely, 2^3671640 is an apocalyptic number.

3671640 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 3671640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7188480).

3671640 is an abundant number, since it is smaller than the sum of its proper divisors (10705320).

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

3671640 is a wasteful number, since it uses less digits than its factorization.

3671640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3671640 is about 1916.1523947745. The cubic root of 3671640 is about 154.2718535461.

The spelling of 3671640 in words is "three million, six hundred seventy-one thousand, six hundred forty".