3485208480 has 384 divisors, whose sum is σ = 12517908480. Its totient is φ = 808980480.

The previous prime is 3485208443. The next prime is 3485208481. The reversal of 3485208480 is 848025843.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3485208481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 8317711 + ... + 8318129.

It is an arithmetic number, because the mean of its divisors is an integer number (32598720).

Almost surely, 2^3485208480 is an apocalyptic number.

3485208480 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 3485208480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258954240).

3485208480 is an abundant number, since it is smaller than the sum of its proper divisors (9032700000).

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

3485208480 is a wasteful number, since it uses less digits than its factorization.

3485208480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 3485208480 is about 59035.6543116107. The cubic root of 3485208480 is about 1516.1526197924.

The spelling of 3485208480 in words is "three billion, four hundred eighty-five million, two hundred eight thousand, four hundred eighty".