3505952000 has 108 divisors (see below), whose sum is σ = 8760230388. Its totient is φ = 1398144000.

The previous prime is 3505951993. The next prime is 3505952011. The reversal of 3505952000 is 2595053.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 112190464 + 3393761536 = 10592^2 + 58256^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10591835 + ... + 10592165.

Almost surely, 2^3505952000 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 3505952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4380115194).

3505952000 is an abundant number, since it is smaller than the sum of its proper divisors (5254278388).

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

3505952000 is an frugal number, since it uses more digits than its factorization.

3505952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 29.

The square root of 3505952000 is about 59211.0800441944. The cubic root of 3505952000 is about 1519.1546546035.

The spelling of 3505952000 in words is "three billion, five hundred five million, nine hundred fifty-two thousand".