3452458464 has 864 divisors, whose sum is σ = 13834600416. Its totient is φ = 836075520.

The previous prime is 3452458463. The next prime is 3452458483. The reversal of 3452458464 is 4648542543.

3452458464 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 4 + 584 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3452458463) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84206284 + ... + 84206324.

It is an arithmetic number, because the mean of its divisors is an integer number (16012269).

Almost surely, 2^3452458464 is an apocalyptic number.

3452458464 is a gapful number since it is divisible by the number (34) 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 3452458464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917300208).

3452458464 is an abundant number, since it is smaller than the sum of its proper divisors (10382141952).

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

3452458464 is a wasteful number, since it uses less digits than its factorization.

3452458464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 83 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The square root of 3452458464 is about 58757.6247307530. The cubic root of 3452458464 is about 1511.3886417271.

The spelling of 3452458464 in words is "three billion, four hundred fifty-two million, four hundred fifty-eight thousand, four hundred sixty-four".