3505698240 has 224 divisors, whose sum is σ = 12535326720. Its totient is φ = 822374400.

The previous prime is 3505698239. The next prime is 3505698247. The reversal of 3505698240 is 428965053.

It is a junction number, because it is equal to n+sod(n) for n = 3505698192 and 3505698201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3505698247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322006 + ... + 332714.

It is an arithmetic number, because the mean of its divisors is an integer number (55961280).

Almost surely, 2^3505698240 is an apocalyptic number.

3505698240 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 3505698240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267663360).

3505698240 is an abundant number, since it is smaller than the sum of its proper divisors (9029628480).

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

3505698240 is a wasteful number, since it uses less digits than its factorization.

3505698240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10771 (or 10761 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 3505698240 is about 59208.9371632358. The cubic root of 3505698240 is about 1519.1180016976.

The spelling of 3505698240 in words is "three billion, five hundred five million, six hundred ninety-eight thousand, two hundred forty".