3529093680 has 360 divisors, whose sum is σ = 14002018992. Its totient is φ = 794078208.

The previous prime is 3529093679. The next prime is 3529093681. The reversal of 3529093680 is 863909253.

It is an interprime number because it is at equal distance from previous prime (3529093679) and next prime (3529093681).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3529093681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2363014 + ... + 2364506.

Almost surely, 2^3529093680 is an apocalyptic number.

3529093680 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 3529093680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7001009496).

3529093680 is an abundant number, since it is smaller than the sum of its proper divisors (10472925312).

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

3529093680 is a wasteful number, since it uses less digits than its factorization.

3529093680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3529093680 is about 59406.1754365655. The cubic root of 3529093680 is about 1522.4898136457.

The spelling of 3529093680 in words is "three billion, five hundred twenty-nine million, ninety-three thousand, six hundred eighty".