3676500 has 144 divisors (see below), whose sum is σ = 12492480. Its totient is φ = 907200.

The previous prime is 3676493. The next prime is 3676513. The reversal of 3676500 is 56763.

3676500 is a `hidden beast` number, since 3 + 6 + 7 + 650 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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, 85479 + ... + 85521.

Almost surely, 2^3676500 is an apocalyptic number.

3676500 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 3676500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6246240).

3676500 is an abundant number, since it is smaller than the sum of its proper divisors (8815980).

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

3676500 is a wasteful number, since it uses less digits than its factorization.

3676500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 3676500 is about 1917.4201417530. The cubic root of 3676500 is about 154.3398913205.

The spelling of 3676500 in words is "three million, six hundred seventy-six thousand, five hundred".