3009291552 has 72 divisors (see below), whose sum is σ = 8579991420. Its totient is φ = 1000481280.

The previous prime is 3009291547. The next prime is 3009291553. The reversal of 3009291552 is 2551929003.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2440755216 + 568536336 = 49404^2 + 23844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3009291553) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98602 + ... + 125462.

Almost surely, 2^3009291552 is an apocalyptic number.

3009291552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3009291552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4289995710).

3009291552 is an abundant number, since it is smaller than the sum of its proper divisors (5570699868).

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

3009291552 is a wasteful number, since it uses less digits than its factorization.

3009291552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27266 (or 27255 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 3009291552 is about 54857.0100534107. The cubic root of 3009291552 is about 1443.7370065059.

The spelling of 3009291552 in words is "three billion, nine million, two hundred ninety-one thousand, five hundred fifty-two".