3431012352 has 192 divisors, whose sum is σ = 9807557760. Its totient is φ = 1062862848.

The previous prime is 3431012329. The next prime is 3431012353. The reversal of 3431012352 is 2532101343.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431012353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11175783 + ... + 11176089.

It is an arithmetic number, because the mean of its divisors is an integer number (51081030).

Almost surely, 2^3431012352 is an apocalyptic number.

3431012352 is a gapful number since it is divisible by the number (32) 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 3431012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903778880).

3431012352 is an abundant number, since it is smaller than the sum of its proper divisors (6376545408).

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

3431012352 is a wasteful number, since it uses less digits than its factorization.

3431012352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3431012352 is about 58574.8440202789. The cubic root of 3431012352 is about 1508.2526389221.

Adding to 3431012352 its reverse (2532101343), we get a palindrome (5963113695).

The spelling of 3431012352 in words is "three billion, four hundred thirty-one million, twelve thousand, three hundred fifty-two".