3414304032 has 24 divisors (see below), whose sum is σ = 8962548336. Its totient is φ = 1138101312.

The previous prime is 3414304001. The next prime is 3414304039. The reversal of 3414304032 is 2304034143.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3414303993 and 3414304011.

It is not an unprimeable number, because it can be changed into a prime (3414304039) 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 3 ways as a sum of consecutive naturals, for example, 17782738 + ... + 17782929.

It is an arithmetic number, because the mean of its divisors is an integer number (373439514).

Almost surely, 2^3414304032 is an apocalyptic number.

3414304032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3414304032 is an abundant number, since it is smaller than the sum of its proper divisors (5548244304).

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

3414304032 is a wasteful number, since it uses less digits than its factorization.

3414304032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35565680 (or 35565672 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3414304032 is about 58432.0462759948. The cubic root of 3414304032 is about 1505.8003611848.

Adding to 3414304032 its reverse (2304034143), we get a palindrome (5718338175).

The spelling of 3414304032 in words is "three billion, four hundred fourteen million, three hundred four thousand, thirty-two".