3501369504 has 264 divisors, whose sum is σ = 11048596020. Its totient is φ = 1088391168.

The previous prime is 3501369503. The next prime is 3501369517. The reversal of 3501369504 is 4059631053.

It can be written as a sum of positive squares in 2 ways, for example, as 3288793104 + 212576400 = 57348^2 + 14580^2 .

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 (3501369503) by changing a digit.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 32122602 + ... + 32122710.

Almost surely, 2^3501369504 is an apocalyptic number.

3501369504 is a gapful number since it is divisible by the number (34) 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 3501369504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524298010).

3501369504 is an abundant number, since it is smaller than the sum of its proper divisors (7547226516).

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

3501369504 is an equidigital number, since it uses as much as digits as its factorization.

3501369504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3501369504 is about 59172.3711203126. The cubic root of 3501369504 is about 1518.4924896739.

The spelling of 3501369504 in words is "three billion, five hundred one million, three hundred sixty-nine thousand, five hundred four".