3641889120 has 48 divisors (see below), whose sum is σ = 11471952240. Its totient is φ = 971170304.

The previous prime is 3641889113. The next prime is 3641889127. The reversal of 3641889120 is 219881463.

It is an interprime number because it is at equal distance from previous prime (3641889113) and next prime (3641889127).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3641889127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3793155 + ... + 3794114.

It is an arithmetic number, because the mean of its divisors is an integer number (238999005).

Almost surely, 2^3641889120 is an apocalyptic number.

3641889120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3641889120 is an abundant number, since it is smaller than the sum of its proper divisors (7830063120).

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

3641889120 is a wasteful number, since it uses less digits than its factorization.

3641889120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7587287 (or 7587279 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 3641889120 is about 60348.0664147576. The cubic root of 3641889120 is about 1538.5404059979.

The spelling of 3641889120 in words is "three billion, six hundred forty-one million, eight hundred eighty-nine thousand, one hundred twenty".