3427435392 has 128 divisors (see below), whose sum is σ = 9432960000. Its totient is φ = 1101496320.

The previous prime is 3427435391. The next prime is 3427435397. The reversal of 3427435392 is 2935347243.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427435391) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5939808 + ... + 5940384.

It is an arithmetic number, because the mean of its divisors is an integer number (73695000).

Almost surely, 2^3427435392 is an apocalyptic number.

3427435392 is a gapful number since it is divisible by the number (32) 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 3427435392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716480000).

3427435392 is an abundant number, since it is smaller than the sum of its proper divisors (6005524608).

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

3427435392 is a wasteful number, since it uses less digits than its factorization.

3427435392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its digits is 544320, while the sum is 42.

The square root of 3427435392 is about 58544.3028141936. The cubic root of 3427435392 is about 1507.7283198865.

The spelling of 3427435392 in words is "three billion, four hundred twenty-seven million, four hundred thirty-five thousand, three hundred ninety-two".