3485848320 has 432 divisors, whose sum is σ = 12795374592. Its totient is φ = 874782720.

The previous prime is 3485848297. The next prime is 3485848337. The reversal of 3485848320 is 238485843.

3485848320 is a `hidden beast` number, since 3 + 48 + 584 + 8 + 3 + 20 = 666.

It is a super-2 number, since 2×3485848320² = 24302277020093644800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15356047 + ... + 15356273.

Almost surely, 2^3485848320 is an apocalyptic number.

3485848320 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 3485848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397687296).

3485848320 is an abundant number, since it is smaller than the sum of its proper divisors (9309526272).

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

3485848320 is a wasteful number, since it uses less digits than its factorization.

3485848320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 3485848320 is about 59041.0731609784. The cubic root of 3485848320 is about 1516.2453962349.

The spelling of 3485848320 in words is "three billion, four hundred eighty-five million, eight hundred forty-eight thousand, three hundred twenty".