3485508390 has 288 divisors, whose sum is σ = 11812020480. Its totient is φ = 696294144.

The previous prime is 3485508337. The next prime is 3485508401. The reversal of 3485508390 is 938055843.

It is a happy number.

3485508390 is a `hidden beast` number, since 3 + 4 + 8 + 550 + 8 + 3 + 90 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2022069 + ... + 2023791.

It is an arithmetic number, because the mean of its divisors is an integer number (41013960).

Almost surely, 2^3485508390 is an apocalyptic number.

3485508390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485508390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5906010240).

3485508390 is an abundant number, since it is smaller than the sum of its proper divisors (8326512090).

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

3485508390 is a wasteful number, since it uses less digits than its factorization.

3485508390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3485508390 is about 59038.1943321440. The cubic root of 3485508390 is about 1516.1961079885.

The spelling of 3485508390 in words is "three billion, four hundred eighty-five million, five hundred eight thousand, three hundred ninety".