3060470336400 has 225 divisors, whose sum is σ = 10984912695361. Its totient is φ = 816041450880.

The previous prime is 3060470336383. The next prime is 3060470336477. The reversal of 3060470336400 is 46330740603.

The square root of 3060470336400 is 1749420.

It is a perfect power (a square), and thus also a powerful number.

3060470336400 is a `hidden beast` number, since 3 + 0 + 6 + 0 + 4 + 7 + 0 + 3 + 3 + 640 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1101769321104 + 1958701015296 = 1049652^2 + 1399536^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 314890741 + ... + 314900459.

Almost surely, 2^{3060470336400} is an apocalyptic number.

3060470336400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3060470336400 is the 1749420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3060470336400

3060470336400 is an abundant number, since it is smaller than the sum of its proper divisors (7924442358961).

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

3060470336400 is an frugal number, since it uses more digits than its factorization.

3060470336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19468 (or 9729 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 36.

Multiplying 3060470336400 by its sum of digits (36), we get a square (110176932110400 = 10496520²).

3060470336400 divided by its sum of digits (36) gives a square (85013064900 = 291570²).

The spelling of 3060470336400 in words is "three trillion, sixty billion, four hundred seventy million, three hundred thirty-six thousand, four hundred".