3442581090 has 96 divisors (see below), whose sum is σ = 10206299376. Its totient is φ = 797552640.

The previous prime is 3442581071. The next prime is 3442581091. The reversal of 3442581090 is 901852443.

3442581090 is a `hidden beast` number, since 34 + 42 + 581 + 0 + 9 + 0 = 666.

3442581090 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2582977329 + 859603761 = 50823^2 + 29319^2 .

It is a super-2 number, since 2×3442581090² = 23702729122451176200, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3442581091) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66651 + ... + 106430.

Almost surely, 2^3442581090 is an apocalyptic number.

3442581090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3442581090 is an abundant number, since it is smaller than the sum of its proper divisors (6763718286).

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

3442581090 is a wasteful number, since it uses less digits than its factorization.

3442581090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173124 (or 173121 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3442581090 is about 58673.5126782094. The cubic root of 3442581090 is about 1509.9459200257.

The spelling of 3442581090 in words is "three billion, four hundred forty-two million, five hundred eighty-one thousand, ninety".