1377894400 has 153 divisors (see below), whose sum is σ = 3539048071. Its totient is φ = 532152320.

The previous prime is 1377894389. The next prime is 1377894407. The reversal of 1377894400 is 44987731.

The square root of 1377894400 is 37120.

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

It can be written as a sum of positive squares in 4 ways, for example, as 18939904 + 1358954496 = 4352^2 + 36864^2 .

It is a Duffinian number.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (1377894407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47513586 + ... + 47513614.

Almost surely, 2^1377894400 is an apocalyptic number.

1377894400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1377894400 is the 37120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377894400

1377894400 is an abundant number, since it is smaller than the sum of its proper divisors (2161153671).

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

1377894400 is an frugal number, since it uses more digits than its factorization.

1377894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The cubic root of 1377894400 is about 1112.7697515295.

The spelling of 1377894400 in words is "one billion, three hundred seventy-seven million, eight hundred ninety-four thousand, four hundred".