1876434228900 has 729 divisors, whose sum is σ = 7533069150243. Its totient is φ = 389250892800.

The previous prime is 1876434228857. The next prime is 1876434228917. The reversal of 1876434228900 is 98224346781.

The square root of 1876434228900 is 1369830.

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

1876434228900 is a `hidden beast` number, since 1 + 87 + 64 + 3 + 422 + 89 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1265509476 + 1875168719424 = 35574^2 + 1369368^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3164307004 + ... + 3164307596.

Almost surely, 2^{1876434228900} is an apocalyptic number.

1876434228900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1876434228900 is the 1369830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1876434228900

1876434228900 is an abundant number, since it is smaller than the sum of its proper divisors (5656634921343).

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

1876434228900 is a wasteful number, since it uses less digits than its factorization.

1876434228900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1876434228900 in words is "one trillion, eight hundred seventy-six billion, four hundred thirty-four million, two hundred twenty-eight thousand, nine hundred".