3641940 has 36 divisors (see below), whose sum is σ = 11047764. Its totient is φ = 971136.

The previous prime is 3641933. The next prime is 3641951. The reversal of 3641940 is 491463.

3641940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1602756 + 2039184 = 1266^2 + 1428^2 .

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

It is a super-3 number, since 3×3641940³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9937 + ... + 10296.

Almost surely, 2^3641940 is an apocalyptic number.

3641940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3641940 is an abundant number, since it is smaller than the sum of its proper divisors (7405824).

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

3641940 is a wasteful number, since it uses less digits than its factorization.

3641940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20248 (or 20243 counting only the distinct ones).

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

The square root of 3641940 is about 1908.3867532552. The cubic root of 3641940 is about 153.8547570830.

It can be divided in two parts, 364 and 1940, that added together give a square (2304 = 48²).

The spelling of 3641940 in words is "three million, six hundred forty-one thousand, nine hundred forty".