3529270080 has 504 divisors, whose sum is σ = 14330613960. Its totient is φ = 794787840.

The previous prime is 3529270079. The next prime is 3529270093. The reversal of 3529270080 is 800729253.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 208744704 + 3320525376 = 14448^2 + 57624^2 .

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 12559540 + ... + 12559820.

Almost surely, 2^3529270080 is an apocalyptic number.

3529270080 is a gapful number since it is divisible by the number (30) 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 3529270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165306980).

3529270080 is an abundant number, since it is smaller than the sum of its proper divisors (10801343880).

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

3529270080 is a wasteful number, since it uses less digits than its factorization.

3529270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3529270080 is about 59407.6601121438. The cubic root of 3529270080 is about 1522.5151801895.

The spelling of 3529270080 in words is "three billion, five hundred twenty-nine million, two hundred seventy thousand, eighty".