3521190960 has 960 divisors, whose sum is σ = 15877555200. Its totient is φ = 710664192.

The previous prime is 3521190929. The next prime is 3521190961. The reversal of 3521190960 is 690911253.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3521190961) 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 191 ways as a sum of consecutive naturals, for example, 34186269 + ... + 34186371.

It is an arithmetic number, because the mean of its divisors is an integer number (16539120).

Almost surely, 2^3521190960 is an apocalyptic number.

3521190960 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 3521190960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938777600).

3521190960 is an abundant number, since it is smaller than the sum of its proper divisors (12356364240).

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

3521190960 is a wasteful number, since it uses less digits than its factorization.

3521190960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 3521190960 is about 59339.6238612952. The cubic root of 3521190960 is about 1521.3525242121.

It can be divided in two parts, 3521 and 190960, that added together give a 4-th power (194481 = 21⁴).

The spelling of 3521190960 in words is "three billion, five hundred twenty-one million, one hundred ninety thousand, nine hundred sixty".