3630000 has 150 divisors (see below), whose sum is σ = 12880252. Its totient is φ = 880000.

The previous prime is 3629999. The next prime is 3630019. The reversal of 3630000 is 363.

It is a tau number, because it is divible by the number of its divisors (150).

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 329995 + ... + 330005.

Almost surely, 2^3630000 is an apocalyptic number.

3630000 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 3630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440126).

3630000 is an abundant number, since it is smaller than the sum of its proper divisors (9250252).

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

3630000 is a wasteful number, since it uses less digits than its factorization.

3630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3630000 is about 1905.2558883258. The cubic root of 3630000 is about 153.6864368095.

Multiplying 3630000 by its sum of digits (12), we get a square (43560000 = 6600²).

3630000 divided by its sum of digits (12) gives a square (302500 = 550²).

Adding to 3630000 its reverse (363), we get a palindrome (3630363).

Multiplying 3630000 by its reverse (363), we get a square (1317690000 = 36300²).

3630000 divided by its reverse (363) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 3 and 630000, that added together give a triangular number (630003 = T₁₁₂₂).

The spelling of 3630000 in words is "three million, six hundred thirty thousand".