3426958080 has 648 divisors, whose sum is σ = 14885528112. Its totient is φ = 721502208.

The previous prime is 3426958061. The next prime is 3426958081. The reversal of 3426958080 is 808596243.

3426958080 is a `hidden beast` number, since 3 + 4 + 2 + 69 + 580 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3426958081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7338007 + ... + 7338473.

It is an arithmetic number, because the mean of its divisors is an integer number (22971494).

Almost surely, 2^3426958080 is an apocalyptic number.

3426958080 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 3426958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7442764056).

3426958080 is an abundant number, since it is smaller than the sum of its proper divisors (11458570032).

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

3426958080 is a wasteful number, since it uses less digits than its factorization.

3426958080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 3426958080 is about 58540.2261697032. The cubic root of 3426958080 is about 1507.6583268113.

The spelling of 3426958080 in words is "three billion, four hundred twenty-six million, nine hundred fifty-eight thousand, eighty".