3438128500 has 24 divisors (see below), whose sum is σ = 7508873736. Its totient is φ = 1375251200.

The previous prime is 3438128483. The next prime is 3438128503. The reversal of 3438128500 is 58218343.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 572453476 + 2865675024 = 23926^2 + 53532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438128503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3437629 + ... + 3438628.

It is an arithmetic number, because the mean of its divisors is an integer number (312869739).

Almost surely, 2^3438128500 is an apocalyptic number.

It is an amenable number.

3438128500 is an abundant number, since it is smaller than the sum of its proper divisors (4070745236).

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

3438128500 is a wasteful number, since it uses less digits than its factorization.

3438128500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6876276 (or 6876264 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 3438128500 is about 58635.5566188298. The cubic root of 3438128500 is about 1509.2946576379.

The spelling of 3438128500 in words is "three billion, four hundred thirty-eight million, one hundred twenty-eight thousand, five hundred".