3458908992 has 224 divisors, whose sum is σ = 11677400064. Its totient is φ = 877363200.

The previous prime is 3458908963. The next prime is 3458908993. The reversal of 3458908992 is 2998098543.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3458908993) 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 31 ways as a sum of consecutive naturals, for example, 632992 + ... + 638432.

Almost surely, 2^3458908992 is an apocalyptic number.

3458908992 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 3458908992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838700032).

3458908992 is an abundant number, since it is smaller than the sum of its proper divisors (8218491072).

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

3458908992 is a wasteful number, since it uses less digits than its factorization.

3458908992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5517 (or 5507 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The square root of 3458908992 is about 58812.4901020183. The cubic root of 3458908992 is about 1512.3293423279.

The spelling of 3458908992 in words is "three billion, four hundred fifty-eight million, nine hundred eight thousand, nine hundred ninety-two".