3530807280 has 1280 divisors, whose sum is σ = 17278894080. Its totient is φ = 638668800.

The previous prime is 3530807263. The next prime is 3530807281. The reversal of 3530807280 is 827080353.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3530807281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49729645 + ... + 49729715.

It is an arithmetic number, because the mean of its divisors is an integer number (13499136).

Almost surely, 2^3530807280 is an apocalyptic number.

3530807280 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 3530807280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8639447040).

3530807280 is an abundant number, since it is smaller than the sum of its proper divisors (13748086800).

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

3530807280 is a wasteful number, since it uses less digits than its factorization.

3530807280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3530807280 is about 59420.5964291844. The cubic root of 3530807280 is about 1522.7361957319.

The spelling of 3530807280 in words is "three billion, five hundred thirty million, eight hundred seven thousand, two hundred eighty".