3075249408000 has 4608 divisors, whose sum is σ = 15101091532800. Its totient is φ = 544997376000.

The previous prime is 3075249407947. The next prime is 3075249408067. The reversal of 3075249408000 is 8049425703.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 133706495989 + ... + 133706496011.

It is an arithmetic number, because the mean of its divisors is an integer number (3277146600).

Almost surely, 2^{3075249408000} is an apocalyptic number.

3075249408000 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 3075249408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550545766400).

3075249408000 is an abundant number, since it is smaller than the sum of its proper divisors (12025842124800).

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

3075249408000 is a wasteful number, since it uses less digits than its factorization.

3075249408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 3075249408000 in words is "three trillion, seventy-five billion, two hundred forty-nine million, four hundred eight thousand".