3047042376400 has 180 divisors, whose sum is σ = 8126202788172. Its totient is φ = 1097043200000.

The previous prime is 3047042376307. The next prime is 3047042376401. The reversal of 3047042376400 is 46732407403.

It can be written as a sum of positive squares in 6 ways, for example, as 61016904256 + 2986025472144 = 247016^2 + 1728012^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3047042376401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4576740 + ... + 5200060.

Almost surely, 2^{3047042376400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3047042376400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063101394086).

3047042376400 is an abundant number, since it is smaller than the sum of its proper divisors (5079160411772).

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

3047042376400 is a wasteful number, since it uses less digits than its factorization.

3047042376400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623462 (or 623440 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 40.

The spelling of 3047042376400 in words is "three trillion, forty-seven billion, forty-two million, three hundred seventy-six thousand, four hundred".