3539513040 has 640 divisors, whose sum is σ = 14094336000. Its totient is φ = 731566080.

The previous prime is 3539513039. The next prime is 3539513041. The reversal of 3539513040 is 403159353.

It is an interprime number because it is at equal distance from previous prime (3539513039) and next prime (3539513041).

It is a junction number, because it is equal to n+sod(n) for n = 3539512992 and 3539513010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3539513041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48486444 + ... + 48486516.

It is an arithmetic number, because the mean of its divisors is an integer number (22022400).

Almost surely, 2^3539513040 is an apocalyptic number.

3539513040 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 3539513040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047168000).

3539513040 is an abundant number, since it is smaller than the sum of its proper divisors (10554822960).

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

3539513040 is a wasteful number, since it uses less digits than its factorization.

3539513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 3539513040 is about 59493.8067364999. The cubic root of 3539513040 is about 1523.9866836348.

The spelling of 3539513040 in words is "three billion, five hundred thirty-nine million, five hundred thirteen thousand, forty".