3090248100 has 243 divisors, whose sum is σ = 10384769577. Its totient is φ = 768476160.

The previous prime is 3090248093. The next prime is 3090248153. The reversal of 3090248100 is 18420903.

The square root of 3090248100 is 55590.

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 535552164 + 2554695936 = 23142^2 + 50544^2 .

It is a super-2 number, since 2×3090248100² = 19099266639107220000, which contains 22 as substring.

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, 28350846 + ... + 28350954.

Almost surely, 2^3090248100 is an apocalyptic number.

3090248100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3090248100 is the 55590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3090248100

3090248100 is an abundant number, since it is smaller than the sum of its proper divisors (7294521477).

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

3090248100 is a wasteful number, since it uses less digits than its factorization.

3090248100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 3090248100 is about 1456.5691789340.

The spelling of 3090248100 in words is "three billion, ninety million, two hundred forty-eight thousand, one hundred".