3485099520 has 600 divisors, whose sum is σ = 14562822384. Its totient is φ = 796594176.

The previous prime is 3485099489. The next prime is 3485099521. The reversal of 3485099520 is 259905843.

3485099520 is a `hidden beast` number, since 34 + 8 + 5 + 0 + 99 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485099521) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 497871357 + ... + 497871363.

Almost surely, 2^3485099520 is an apocalyptic number.

3485099520 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 3485099520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7281411192).

3485099520 is an abundant number, since it is smaller than the sum of its proper divisors (11077722864).

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

3485099520 is an frugal number, since it uses more digits than its factorization.

3485099520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3485099520 is about 59034.7314722444. The cubic root of 3485099520 is about 1516.1368195218.

The spelling of 3485099520 in words is "three billion, four hundred eighty-five million, ninety-nine thousand, five hundred twenty".