3485454336 has 312 divisors, whose sum is σ = 12403139840. Its totient is φ = 918355968.

The previous prime is 3485454299. The next prime is 3485454337. The reversal of 3485454336 is 6334545843.

3485454336 is a `hidden beast` number, since 34 + 8 + 545 + 43 + 36 = 666.

3485454336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (312).

It is a junction number, because it is equal to n+sod(n) for n = 3485454291 and 3485454300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485454337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354105 + ... + 3355143.

Almost surely, 2^3485454336 is an apocalyptic number.

3485454336 is a gapful number since it is divisible by the number (36) 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 3485454336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201569920).

3485454336 is an abundant number, since it is smaller than the sum of its proper divisors (8917685504).

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

3485454336 is a wasteful number, since it uses less digits than its factorization.

3485454336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1089 (or 1064 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The square root of 3485454336 is about 59037.7365419780. The cubic root of 3485454336 is about 1516.1882701182.

The spelling of 3485454336 in words is "three billion, four hundred eighty-five million, four hundred fifty-four thousand, three hundred thirty-six".