3641292 has 36 divisors (see below), whose sum is σ = 9432696. Its totient is φ = 1183680.

The previous prime is 3641263. The next prime is 3641311. The reversal of 3641292 is 2921463.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243 + ... + 2709.

Almost surely, 2^3641292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3641292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716348).

3641292 is an abundant number, since it is smaller than the sum of its proper divisors (5791404).

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

3641292 is a wasteful number, since it uses less digits than its factorization.

3641292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2513 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3641292 is about 1908.2169687957. The cubic root of 3641292 is about 153.8456315623.

It can be divided in two parts, 36 and 41292, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 3641292 in words is "three million, six hundred forty-one thousand, two hundred ninety-two".