3412231680 has 480 divisors, whose sum is σ = 12939886080. Its totient is φ = 760381440.

The previous prime is 3412231673. The next prime is 3412231699. The reversal of 3412231680 is 861322143.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14277001 + ... + 14277239.

It is an arithmetic number, because the mean of its divisors is an integer number (26958096).

Almost surely, 2^3412231680 is an apocalyptic number.

3412231680 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 3412231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469943040).

3412231680 is an abundant number, since it is smaller than the sum of its proper divisors (9527654400).

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

3412231680 is a wasteful number, since it uses less digits than its factorization.

3412231680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3412231680 is about 58414.3105754061. The cubic root of 3412231680 is about 1505.4956451113.

The spelling of 3412231680 in words is "three billion, four hundred twelve million, two hundred thirty-one thousand, six hundred eighty".