34162128900 has 243 divisors, whose sum is σ = 109951998429. Its totient is φ = 8871840000.

The previous prime is 34162128893. The next prime is 34162128977. The reversal of 34162128900 is 982126143.

The square root of 34162128900 is 184830.

It is a perfect power (a square), and thus also a powerful number.

34162128900 is a `hidden beast` number, since 3 + 4 + 1 + 621 + 28 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 22451426244 + 11710702656 = 149838^2 + 108216^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 338238850 + ... + 338238950.

Almost surely, 2^34162128900 is an apocalyptic number.

34162128900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34162128900 is the 184830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34162128900

34162128900 is an abundant number, since it is smaller than the sum of its proper divisors (75789869529).

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

34162128900 is a wasteful number, since it uses less digits than its factorization.

34162128900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 34162128900 by its sum of digits (36), we get a square (1229836640400 = 1108980²).

34162128900 divided by its sum of digits (36) gives a square (948948025 = 30805²).

Multiplying 34162128900 by its product of nonzero digits (20736), we get a square (708385904870400 = 26615520²).

The spelling of 34162128900 in words is "thirty-four billion, one hundred sixty-two million, one hundred twenty-eight thousand, nine hundred".