3601489920 has 448 divisors, whose sum is σ = 13588715520. Its totient is φ = 797442048.

The previous prime is 3601489907. The next prime is 3601489963. The reversal of 3601489920 is 299841063.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 45588441 + ... + 45588519.

Almost surely, 2^3601489920 is an apocalyptic number.

3601489920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3601489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794357760).

3601489920 is an abundant number, since it is smaller than the sum of its proper divisors (9987225600).

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

3601489920 is an equidigital number, since it uses as much as digits as its factorization.

3601489920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 3601489920 is about 60012.4147156236. The cubic root of 3601489920 is about 1532.8302689124.

It can be divided in two parts, 3601 and 489920, that added together give a triangular number (493521 = T₉₉₃).

The spelling of 3601489920 in words is "three billion, six hundred one million, four hundred eighty-nine thousand, nine hundred twenty".