3087435552100 has 243 divisors, whose sum is σ = 7120861216833. Its totient is φ = 1161885473280.

The previous prime is 3087435552077. The next prime is 3087435552127. The reversal of 3087435552100 is 12555347803.

The square root of 3087435552100 is 1757110.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1696771970404 + 1390663581696 = 1302602^2 + 1179264^2 .

It is a Duffinian number.

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, 37198018659 + ... + 37198018741.

Almost surely, 2^{3087435552100} is an apocalyptic number.

3087435552100 is the 1757110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3087435552100

3087435552100 is an abundant number, since it is smaller than the sum of its proper divisors (4033425664733).

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

3087435552100 is an equidigital number, since it uses as much as digits as its factorization.

3087435552100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 43.

The spelling of 3087435552100 in words is "three trillion, eighty-seven billion, four hundred thirty-five million, five hundred fifty-two thousand, one hundred".