3485306880 has 520 divisors, whose sum is σ = 13701118464. Its totient is φ = 840499200.

The previous prime is 3485306801. The next prime is 3485306897. The reversal of 3485306880 is 886035843.

3485306880 is a `hidden beast` number, since 3 + 485 + 30 + 68 + 80 = 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 39 ways as a sum of consecutive naturals, for example, 18247585 + ... + 18247775.

Almost surely, 2^3485306880 is an apocalyptic number.

3485306880 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 3485306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6850559232).

3485306880 is an abundant number, since it is smaller than the sum of its proper divisors (10215811584).

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

3485306880 is a wasteful number, since it uses less digits than its factorization.

3485306880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3485306880 is about 59036.4877004044. The cubic root of 3485306880 is about 1516.1668884762.

The spelling of 3485306880 in words is "three billion, four hundred eighty-five million, three hundred six thousand, eight hundred eighty".