3029225760 has 432 divisors, whose sum is σ = 11711044800. Its totient is φ = 707097600.

The previous prime is 3029225723. The next prime is 3029225783. The reversal of 3029225760 is 675229203.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15222141 + ... + 15222339.

It is an arithmetic number, because the mean of its divisors is an integer number (27108900).

Almost surely, 2^3029225760 is an apocalyptic number.

3029225760 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 3029225760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5855522400).

3029225760 is an abundant number, since it is smaller than the sum of its proper divisors (8681819040).

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

3029225760 is a wasteful number, since it uses less digits than its factorization.

3029225760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3029225760 is about 55038.4025930986. The cubic root of 3029225760 is about 1446.9178702099.

The spelling of 3029225760 in words is "three billion, twenty-nine million, two hundred twenty-five thousand, seven hundred sixty".