3485753040 has 640 divisors, whose sum is σ = 14399078400. Its totient is φ = 676177920.

The previous prime is 3485752997. The next prime is 3485753069. The reversal of 3485753040 is 403575843.

It is a self number, because there is not a number n which added to its sum of digits gives 3485753040.

It is a congruent number.

It is an unprimeable number.

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, 25077291 + ... + 25077429.

It is an arithmetic number, because the mean of its divisors is an integer number (22498560).

Almost surely, 2^3485753040 is an apocalyptic number.

3485753040 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 3485753040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7199539200).

3485753040 is an abundant number, since it is smaller than the sum of its proper divisors (10913325360).

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

3485753040 is a wasteful number, since it uses less digits than its factorization.

3485753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 3485753040 is about 59040.2662595622. The cubic root of 3485753040 is about 1516.2315814076.

The spelling of 3485753040 in words is "three billion, four hundred eighty-five million, seven hundred fifty-three thousand, forty".