3520904220032 has 64 divisors (see below), whose sum is σ = 7132039234560. Its totient is φ = 1730924482560.

The previous prime is 3520904220007. The next prime is 3520904220059. The reversal of 3520904220032 is 2300224090253.

3520904220032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20472833 + ... + 20644095.

It is an arithmetic number, because the mean of its divisors is an integer number (111438113040).

Almost surely, 2^{3520904220032} is an apocalyptic number.

3520904220032 is a gapful number since it is divisible by the number (32) 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 3520904220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3566019617280).

3520904220032 is an abundant number, since it is smaller than the sum of its proper divisors (3611135014528).

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

3520904220032 is a wasteful number, since it uses less digits than its factorization.

3520904220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173971 (or 173959 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The spelling of 3520904220032 in words is "three trillion, five hundred twenty billion, nine hundred four million, two hundred twenty thousand, thirty-two".