3458368620 has 144 divisors (see below), whose sum is σ = 12017678400. Its totient is φ = 788594688.

The previous prime is 3458368609. The next prime is 3458368643. The reversal of 3458368620 is 268638543.

It is a happy number.

3458368620 is a `hidden beast` number, since 3 + 4 + 583 + 6 + 8 + 62 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 562684 + ... + 568796.

It is an arithmetic number, because the mean of its divisors is an integer number (83456100).

Almost surely, 2^3458368620 is an apocalyptic number.

3458368620 is a gapful number since it is divisible by the number (30) 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 3458368620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6008839200).

3458368620 is an abundant number, since it is smaller than the sum of its proper divisors (8559309780).

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

3458368620 is a wasteful number, since it uses less digits than its factorization.

3458368620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6584 (or 6579 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3458368620 is about 58807.8958984251. The cubic root of 3458368620 is about 1512.2505831012.

The spelling of 3458368620 in words is "three billion, four hundred fifty-eight million, three hundred sixty-eight thousand, six hundred twenty".