3458391552 has 720 divisors, whose sum is σ = 13619878272. Its totient is φ = 851005440.

The previous prime is 3458391529. The next prime is 3458391557. The reversal of 3458391552 is 2551938543.

3458391552 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 3 + 91 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3458391498 and 3458391507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3458391557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 182020599 + ... + 182020617.

Almost surely, 2^3458391552 is an apocalyptic number.

3458391552 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 3458391552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809939136).

3458391552 is an abundant number, since it is smaller than the sum of its proper divisors (10161486720).

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

3458391552 is an equidigital number, since it uses as much as digits as its factorization.

3458391552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 42 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 3458391552 is about 58808.0908719200. The cubic root of 3458391552 is about 1512.2539256073.

The spelling of 3458391552 in words is "three billion, four hundred fifty-eight million, three hundred ninety-one thousand, five hundred fifty-two".