3457124352 has 432 divisors, whose sum is σ = 11767064400. Its totient is φ = 969277440.

The previous prime is 3457124351. The next prime is 3457124389. The reversal of 3457124352 is 2534217543.

3457124352 is a `hidden beast` number, since 34 + 571 + 2 + 4 + 3 + 52 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3457124351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58595299 + ... + 58595357.

It is an arithmetic number, because the mean of its divisors is an integer number (27238575).

Almost surely, 2^3457124352 is an apocalyptic number.

3457124352 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 3457124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5883532200).

3457124352 is an abundant number, since it is smaller than the sum of its proper divisors (8309940048).

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

3457124352 is a wasteful number, since it uses less digits than its factorization.

3457124352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 92 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 3457124352 is about 58797.3158571035. The cubic root of 3457124352 is about 1512.0691998227.

The spelling of 3457124352 in words is "three billion, four hundred fifty-seven million, one hundred twenty-four thousand, three hundred fifty-two".