3485183520 has 384 divisors, whose sum is σ = 13709412864. Its totient is φ = 724598784.

The previous prime is 3485183501. The next prime is 3485183531. The reversal of 3485183520 is 253815843.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3188094 + ... + 3189186.

It is an arithmetic number, because the mean of its divisors is an integer number (35701596).

Almost surely, 2^3485183520 is an apocalyptic number.

3485183520 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 3485183520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854706432).

3485183520 is an abundant number, since it is smaller than the sum of its proper divisors (10224229344).

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

3485183520 is a wasteful number, since it uses less digits than its factorization.

3485183520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 3485183520 is about 59035.4429135583. The cubic root of 3485183520 is about 1516.1490003762.

The spelling of 3485183520 in words is "three billion, four hundred eighty-five million, one hundred eighty-three thousand, five hundred twenty".