3670680 has 96 divisors (see below), whose sum is σ = 11990160. Its totient is φ = 898560.

The previous prime is 3670673. The next prime is 3670687. The reversal of 3670680 is 860763.

3670680 = T₁₀₄ + T₁₀₅ + ... + T₂₈₄.

3670680 = 15² + 16² + ... + 222².

It is an interprime number because it is at equal distance from previous prime (3670673) and next prime (3670687).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3670687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20190 + ... + 20370.

Almost surely, 2^3670680 is an apocalyptic number.

3670680 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 3670680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995080).

3670680 is an abundant number, since it is smaller than the sum of its proper divisors (8319480).

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

3670680 is a wasteful number, since it uses less digits than its factorization.

3670680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3670680 is about 1915.9018764018. The cubic root of 3670680 is about 154.2584068857.

The spelling of 3670680 in words is "three million, six hundred seventy thousand, six hundred eighty".