3641229760 has 112 divisors (see below), whose sum is σ = 9933822144. Its totient is φ = 1245339648.

The previous prime is 3641229719. The next prime is 3641229841. The reversal of 3641229760 is 679221463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 1021902 + ... + 1025458.

Almost surely, 2^3641229760 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 3641229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4966911072).

3641229760 is an abundant number, since it is smaller than the sum of its proper divisors (6292592384).

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

3641229760 is a wasteful number, since it uses less digits than its factorization.

3641229760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 3641229760 is about 60342.6031921063. The cubic root of 3641229760 is about 1538.4475500472.

The spelling of 3641229760 in words is "three billion, six hundred forty-one million, two hundred twenty-nine thousand, seven hundred sixty".