3406903632 has 320 divisors, whose sum is σ = 11406769920. Its totient is φ = 962150400.

The previous prime is 3406903613. The next prime is 3406903637. The reversal of 3406903632 is 2363096043.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3406903637) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 14621788 + ... + 14622020.

It is an arithmetic number, because the mean of its divisors is an integer number (35646156).

Almost surely, 2^3406903632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3406903632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703384960).

3406903632 is an abundant number, since it is smaller than the sum of its proper divisors (7999866288).

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

3406903632 is a wasteful number, since it uses less digits than its factorization.

3406903632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The square root of 3406903632 is about 58368.6870847717. The cubic root of 3406903632 is about 1504.7116487482.

Adding to 3406903632 its reverse (2363096043), we get a palindrome (5769999675).

The spelling of 3406903632 in words is "three billion, four hundred six million, nine hundred three thousand, six hundred thirty-two".