3500442400 has 216 divisors, whose sum is σ = 10706853780. Its totient is φ = 1107671040.

The previous prime is 3500442397. The next prime is 3500442431. The reversal of 3500442400 is 42440053.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 46294416 + 3454147984 = 6804^2 + 58772^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 506166 + ... + 513034.

Almost surely, 2^3500442400 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 3500442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5353426890).

3500442400 is an abundant number, since it is smaller than the sum of its proper divisors (7206411380).

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

3500442400 is a wasteful number, since it uses less digits than its factorization.

3500442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916 (or 6896 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 3500442400 is about 59164.5366752753. The cubic root of 3500442400 is about 1518.3584540504.

Adding to 3500442400 its reverse (42440053), we get a palindrome (3542882453).

The spelling of 3500442400 in words is "three billion, five hundred million, four hundred forty-two thousand, four hundred".