3431464032 has 48 divisors (see below), whose sum is σ = 9026519040. Its totient is φ = 1141418112.

The previous prime is 3431464019. The next prime is 3431464037. The reversal of 3431464032 is 2304641343.

3431464032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431464037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8673 + ... + 83295.

It is an arithmetic number, because the mean of its divisors is an integer number (188052480).

Almost surely, 2^3431464032 is an apocalyptic number.

3431464032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3431464032 is an abundant number, since it is smaller than the sum of its proper divisors (5595055008).

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

3431464032 is a wasteful number, since it uses less digits than its factorization.

3431464032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75115 (or 75107 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 3431464032 is about 58578.6994734434. The cubic root of 3431464032 is about 1508.3188212991.

It can be divided in two parts, 34314 and 64032, that added together give a triangular number (98346 = T₄₄₃).

The spelling of 3431464032 in words is "three billion, four hundred thirty-one million, four hundred sixty-four thousand, thirty-two".