3485589408 has 240 divisors, whose sum is σ = 12095322624. Its totient is φ = 963601920.

The previous prime is 3485589397. The next prime is 3485589409. The reversal of 3485589408 is 8049855843.

3485589408 is a `hidden beast` number, since 3 + 48 + 558 + 9 + 40 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (3485589409) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 559366 + ... + 565562.

Almost surely, 2^3485589408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485589408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047661312).

3485589408 is an abundant number, since it is smaller than the sum of its proper divisors (8609733216).

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

3485589408 is a wasteful number, since it uses less digits than its factorization.

3485589408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6257 (or 6240 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The square root of 3485589408 is about 59038.8804771906. The cubic root of 3485589408 is about 1516.2078555072.

The spelling of 3485589408 in words is "three billion, four hundred eighty-five million, five hundred eighty-nine thousand, four hundred eight".