3458094816 has 288 divisors, whose sum is σ = 10489971744. Its totient is φ = 995737600.

The previous prime is 3458094803. The next prime is 3458094841. The reversal of 3458094816 is 6184908543.

3458094816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25241500 + ... + 25241636.

It is an arithmetic number, because the mean of its divisors is an integer number (36423513).

Almost surely, 2^3458094816 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 3458094816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244985872).

3458094816 is an abundant number, since it is smaller than the sum of its proper divisors (7031876928).

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

3458094816 is a wasteful number, since it uses less digits than its factorization.

3458094816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 3458094816 is about 58805.5678996471. The cubic root of 3458094816 is about 1512.2106730327.

The spelling of 3458094816 in words is "three billion, four hundred fifty-eight million, ninety-four thousand, eight hundred sixteen".