3634890 has 64 divisors (see below), whose sum is σ = 10506240. Its totient is φ = 786240.

The previous prime is 3634877. The next prime is 3634901. The reversal of 3634890 is 984363.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3535 + ... + 4445.

It is an arithmetic number, because the mean of its divisors is an integer number (164160).

Almost surely, 2^3634890 is an apocalyptic number.

3634890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3634890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253120).

3634890 is an abundant number, since it is smaller than the sum of its proper divisors (6871350).

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

3634890 is a wasteful number, since it uses less digits than its factorization.

3634890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3634890 is about 1906.5387486227. The cubic root of 3634890 is about 153.7554165585.

It can be divided in two parts, 363 and 4890, that added together give a triangular number (5253 = T₁₀₂).

The spelling of 3634890 in words is "three million, six hundred thirty-four thousand, eight hundred ninety".