3500782400 has 84 divisors (see below), whose sum is σ = 8643384288. Its totient is φ = 1395555840.

The previous prime is 3500782387. The next prime is 3500782427. The reversal of 3500782400 is 42870053.

It is a happy number.

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 11 ways as a sum of consecutive naturals, for example, 487637 + ... + 494763.

It is an arithmetic number, because the mean of its divisors is an integer number (102897432).

Almost surely, 2^3500782400 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 3500782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4321692144).

3500782400 is an abundant number, since it is smaller than the sum of its proper divisors (5142601888).

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

3500782400 is a wasteful number, since it uses less digits than its factorization.

3500782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7456 (or 7441 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 3500782400 is about 59167.4099483829. The cubic root of 3500782400 is about 1518.4076121379.

The spelling of 3500782400 in words is "three billion, five hundred million, seven hundred eighty-two thousand, four hundred".