3115540890 has 192 divisors, whose sum is σ = 10131443712. Its totient is φ = 645321600.

The previous prime is 3115540837. The next prime is 3115540943. The reversal of 3115540890 is 980455113.

3115540890 is a `hidden beast` number, since 3 + 11 + 554 + 0 + 8 + 90 = 666.

It is an interprime number because it is at equal distance from previous prime (3115540837) and next prime (3115540943).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3208105 + ... + 3209075.

It is an arithmetic number, because the mean of its divisors is an integer number (52767936).

Almost surely, 2^3115540890 is an apocalyptic number.

3115540890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3115540890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5065721856).

3115540890 is an abundant number, since it is smaller than the sum of its proper divisors (7015902822).

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

3115540890 is a wasteful number, since it uses less digits than its factorization.

3115540890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 3115540890 is about 55817.0304656204. The cubic root of 3115540890 is about 1460.5322526156.

The spelling of 3115540890 in words is "three billion, one hundred fifteen million, five hundred forty thousand, eight hundred ninety".