2973969230400 has 567 divisors, whose sum is σ = 12301926116571. Its totient is φ = 679433287680.

The previous prime is 2973969230377. The next prime is 2973969230411. The reversal of 2973969230400 is 40329693792.

The square root of 2973969230400 is 1724520.

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

2973969230400 is a `hidden beast` number, since 2 + 97 + 39 + 6 + 92 + 30 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46749358656 + 2927219871744 = 216216^2 + 1710912^2 .

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 80 ways as a sum of consecutive naturals, for example, 1448595774 + ... + 1448597826.

Almost surely, 2^{2973969230400} is an apocalyptic number.

2973969230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2973969230400 is the 1724520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2973969230400

2973969230400 is an abundant number, since it is smaller than the sum of its proper divisors (9327956886171).

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

2973969230400 is an equidigital number, since it uses as much as digits as its factorization.

2973969230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 2973969230400 in words is "two trillion, nine hundred seventy-three billion, nine hundred sixty-nine million, two hundred thirty thousand, four hundred".