3432805376 has 352 divisors, whose sum is σ = 9805162752. Its totient is φ = 1156055040.

The previous prime is 3432805357. The next prime is 3432805403. The reversal of 3432805376 is 6735082343.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17425310 + ... + 17425506.

It is an arithmetic number, because the mean of its divisors is an integer number (27855576).

Almost surely, 2^3432805376 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 3432805376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4902581376).

3432805376 is an abundant number, since it is smaller than the sum of its proper divisors (6372357376).

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

3432805376 is a wasteful number, since it uses less digits than its factorization.

3432805376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The square root of 3432805376 is about 58590.1474311168. The cubic root of 3432805376 is about 1508.5153273990.

It can be divided in two parts, 3432 and 805376, that added together give a palindrome (808808).

The spelling of 3432805376 in words is "three billion, four hundred thirty-two million, eight hundred five thousand, three hundred seventy-six".