3005765070 has 128 divisors (see below), whose sum is σ = 9523049472. Its totient is φ = 587827200.

The previous prime is 3005765069. The next prime is 3005765099. The reversal of 3005765070 is 705675003.

It is a happy number.

3005765070 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 is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000 + ... + 77540.

It is an arithmetic number, because the mean of its divisors is an integer number (74398824).

Almost surely, 2^3005765070 is an apocalyptic number.

3005765070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005765070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761524736).

3005765070 is an abundant number, since it is smaller than the sum of its proper divisors (6517284402).

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

3005765070 is a wasteful number, since it uses less digits than its factorization.

3005765070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76586.

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 3005765070 is about 54824.8581393514. The cubic root of 3005765070 is about 1443.1728313448.

The spelling of 3005765070 in words is "three billion, five million, seven hundred sixty-five thousand, seventy".