3412630080 has 168 divisors, whose sum is σ = 12024734904. Its totient is φ = 887808000.

The previous prime is 3412630069. The next prime is 3412630127. The reversal of 3412630080 is 800362143.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 584092224 + 2828537856 = 24168^2 + 53184^2 .

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 23 ways as a sum of consecutive naturals, for example, 103630 + ... + 132530.

It is an arithmetic number, because the mean of its divisors is an integer number (71575803).

Almost surely, 2^3412630080 is an apocalyptic number.

3412630080 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 3412630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6012367452).

3412630080 is an abundant number, since it is smaller than the sum of its proper divisors (8612104824).

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

3412630080 is a wasteful number, since it uses less digits than its factorization.

3412630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28965 (or 28952 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3412630080 is about 58417.7205991470. The cubic root of 3412630080 is about 1505.5542349317.

The spelling of 3412630080 in words is "three billion, four hundred twelve million, six hundred thirty thousand, eighty".