3007253280 has 96 divisors (see below), whose sum is σ = 9606377088. Its totient is φ = 790630400.

The previous prime is 3007253273. The next prime is 3007253309. The reversal of 3007253280 is 823527003.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10041 + ... + 78200.

It is an arithmetic number, because the mean of its divisors is an integer number (100066428).

Almost surely, 2^3007253280 is an apocalyptic number.

3007253280 is a gapful number since it is divisible by the number (30) 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 3007253280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803188544).

3007253280 is an abundant number, since it is smaller than the sum of its proper divisors (6599123808).

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

3007253280 is a wasteful number, since it uses less digits than its factorization.

3007253280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88330 (or 88322 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3007253280 is about 54838.4288615201. The cubic root of 3007253280 is about 1443.4109725861.

The spelling of 3007253280 in words is "three billion, seven million, two hundred fifty-three thousand, two hundred eighty".