3641580 has 36 divisors (see below), whose sum is σ = 11046672. Its totient is φ = 971040.

The previous prime is 3641569. The next prime is 3641591. The reversal of 3641580 is 851463.

It is an interprime number because it is at equal distance from previous prime (3641569) and next prime (3641591).

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

It is a super-2 number, since 2×3641580² = 26522209792800, which contains 22 as substring.

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, 9936 + ... + 10295.

It is an arithmetic number, because the mean of its divisors is an integer number (306852).

Almost surely, 2^3641580 is an apocalyptic number.

3641580 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3641580 is an abundant number, since it is smaller than the sum of its proper divisors (7405092).

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

3641580 is a wasteful number, since it uses less digits than its factorization.

3641580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20246 (or 20241 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3641580 is about 1908.2924304205. The cubic root of 3641580 is about 153.8496874829.

It can be divided in two parts, 36 and 41580, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 3641580 in words is "three million, six hundred forty-one thousand, five hundred eighty".