3573824080 has 80 divisors (see below), whose sum is σ = 8674047504. Its totient is φ = 1368023040.

The previous prime is 3573824029. The next prime is 3573824129. The reversal of 3573824080 is 804283753.

It can be written as a sum of positive squares in 8 ways, for example, as 1132096 + 3572691984 = 1064^2 + 59772^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170664 + ... + 190456.

Almost surely, 2^3573824080 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 3573824080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337023752).

3573824080 is an abundant number, since it is smaller than the sum of its proper divisors (5100223424).

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

3573824080 is a wasteful number, since it uses less digits than its factorization.

3573824080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19904 (or 19898 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 3573824080 is about 59781.4693696968. The cubic root of 3573824080 is about 1528.8952225071.

The spelling of 3573824080 in words is "three billion, five hundred seventy-three million, eight hundred twenty-four thousand, eighty".