3432696960 has 768 divisors, whose sum is σ = 14467092480. Its totient is φ = 683827200.

The previous prime is 3432696931. The next prime is 3432697007. The reversal of 3432696960 is 696962343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 32081227 + ... + 32081333.

It is an arithmetic number, because the mean of its divisors is an integer number (18837360).

Almost surely, 2^3432696960 is an apocalyptic number.

3432696960 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 3432696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233546240).

3432696960 is an abundant number, since it is smaller than the sum of its proper divisors (11034395520).

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

3432696960 is a wasteful number, since it uses less digits than its factorization.

3432696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 48.

The square root of 3432696960 is about 58589.2222170597. Note that the first 4 decimals coincide. The cubic root of 3432696960 is about 1508.4994464211.

The spelling of 3432696960 in words is "three billion, four hundred thirty-two million, six hundred ninety-six thousand, nine hundred sixty".