3045493152 has 288 divisors, whose sum is σ = 10055223360. Its totient is φ = 865935360.

The previous prime is 3045493151. The next prime is 3045493163. The reversal of 3045493152 is 2513945403.

3045493152 is a `hidden beast` number, since 30 + 4 + 549 + 31 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (3045493151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3754827 + ... + 3755637.

It is an arithmetic number, because the mean of its divisors is an integer number (34913970).

Almost surely, 2^3045493152 is an apocalyptic number.

3045493152 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 3045493152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5027611680).

3045493152 is an abundant number, since it is smaller than the sum of its proper divisors (7009730208).

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

3045493152 is a wasteful number, since it uses less digits than its factorization.

3045493152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3045493152 is about 55185.9869169701. The cubic root of 3045493152 is about 1449.5033022497.

The spelling of 3045493152 in words is "three billion, forty-five million, four hundred ninety-three thousand, one hundred fifty-two".