3502001920 has 72 divisors (see below), whose sum is σ = 8412858720. Its totient is φ = 1396715520.

The previous prime is 3502001879. The next prime is 3502001947. The reversal of 3502001920 is 291002053.

It is a junction number, because it is equal to n+sod(n) for n = 3502001891 and 3502001900.

It is a congruent number.

It is an unprimeable number.

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, 455710 + ... + 463330.

It is an arithmetic number, because the mean of its divisors is an integer number (116845260).

Almost surely, 2^3502001920 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 3502001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206429360).

3502001920 is an abundant number, since it is smaller than the sum of its proper divisors (4910856800).

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

3502001920 is an equidigital number, since it uses as much as digits as its factorization.

3502001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8001 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The square root of 3502001920 is about 59177.7147243791. The cubic root of 3502001920 is about 1518.5839073447.

Adding to 3502001920 its reverse (291002053), we get a palindrome (3793003973).

The spelling of 3502001920 in words is "three billion, five hundred two million, one thousand, nine hundred twenty".