3123773456400 has 405 divisors, whose sum is σ = 11267053926973. Its totient is φ = 832242729600.

The previous prime is 3123773456371. The next prime is 3123773456473. The reversal of 3123773456400 is 46543773213.

The square root of 3123773456400 is 1767420.

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

3123773456400 is a `hidden beast` number, since 3 + 1 + 237 + 7 + 3 + 4 + 5 + 6 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1124558444304 + 1999215012096 = 1060452^2 + 1413936^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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, 2863219855 + ... + 2863220945.

Almost surely, 2^{3123773456400} is an apocalyptic number.

3123773456400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3123773456400 is the 1767420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123773456400

3123773456400 is an abundant number, since it is smaller than the sum of its proper divisors (8143280470573).

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

3123773456400 is an frugal number, since it uses more digits than its factorization.

3123773456400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 3123773456400 in words is "three trillion, one hundred twenty-three billion, seven hundred seventy-three million, four hundred fifty-six thousand, four hundred".