3529085040 has 480 divisors, whose sum is σ = 13535383680. Its totient is φ = 822362112.

The previous prime is 3529084987. The next prime is 3529085041. The reversal of 3529085040 is 405809253.

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

It is a junction number, because it is equal to n+sod(n) for n = 3529084986 and 3529085004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3529085041) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 36382272 + ... + 36382368.

It is an arithmetic number, because the mean of its divisors is an integer number (28198716).

Almost surely, 2^3529085040 is an apocalyptic number.

3529085040 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 3529085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6767691840).

3529085040 is an abundant number, since it is smaller than the sum of its proper divisors (10006298640).

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

3529085040 is a wasteful number, since it uses less digits than its factorization.

3529085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3529085040 is about 59406.1027168085. The cubic root of 3529085040 is about 1522.4885711810.

The spelling of 3529085040 in words is "three billion, five hundred twenty-nine million, eighty-five thousand, forty".