3075975840 has 384 divisors, whose sum is σ = 11788664832. Its totient is φ = 658944000.

The previous prime is 3075975809. The next prime is 3075975883. The reversal of 3075975840 is 485795703.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3075975840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4095465 + ... + 4096215.

It is an arithmetic number, because the mean of its divisors is an integer number (30699648).

Almost surely, 2^3075975840 is an apocalyptic number.

3075975840 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 3075975840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5894332416).

3075975840 is an abundant number, since it is smaller than the sum of its proper divisors (8712688992).

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

3075975840 is a wasteful number, since it uses less digits than its factorization.

3075975840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The square root of 3075975840 is about 55461.4806870498. The cubic root of 3075975840 is about 1454.3233376553.

The spelling of 3075975840 in words is "three billion, seventy-five million, nine hundred seventy-five thousand, eight hundred forty".