3072475440000 has 480 divisors, whose sum is σ = 11135498499840. Its totient is φ = 812851200000.

The previous prime is 3072475439989. The next prime is 3072475440029. The reversal of 3072475440000 is 445742703.

3072475440000 is a `hidden beast` number, since 3 + 0 + 7 + 247 + 5 + 4 + 400 + 0 + 0 = 666.

3072475440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 91423200 + ... + 91456800.

It is an arithmetic number, because the mean of its divisors is an integer number (23198955208).

Almost surely, 2^{3072475440000} is an apocalyptic number.

3072475440000 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 3072475440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567749249920).

3072475440000 is an abundant number, since it is smaller than the sum of its proper divisors (8063023059840).

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

3072475440000 is a wasteful number, since it uses less digits than its factorization.

3072475440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33768 (or 33738 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 3072475440000 in words is "three trillion, seventy-two billion, four hundred seventy-five million, four hundred forty thousand".