3434585472 has 192 divisors, whose sum is σ = 10108098000. Its totient is φ = 1119191040.

The previous prime is 3434585461. The next prime is 3434585477. The reversal of 3434585472 is 2745854343.

3434585472 is a `hidden beast` number, since 34 + 34 + 585 + 4 + 7 + 2 = 666.

3434585472 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 (192).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434585477) 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, 14251272 + ... + 14251512.

Almost surely, 2^3434585472 is an apocalyptic number.

3434585472 is a gapful number since it is divisible by the number (32) 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 3434585472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054049000).

3434585472 is an abundant number, since it is smaller than the sum of its proper divisors (6673512528).

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

3434585472 is a wasteful number, since it uses less digits than its factorization.

3434585472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 474 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The square root of 3434585472 is about 58605.3365488161. The cubic root of 3434585472 is about 1508.7760313794.

The spelling of 3434585472 in words is "three billion, four hundred thirty-four million, five hundred eighty-five thousand, four hundred seventy-two".