1378636900 has 81 divisors (see below), whose sum is σ = 3095829849. Its totient is φ = 532889760.

The previous prime is 1378636877. The next prime is 1378636907. The reversal of 1378636900 is 96368731.

The square root of 1378636900 is 37130.

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

It can be written as a sum of positive squares in only one way, i.e., 496309284 + 882327616 = 22278^2 + 29704^2 .

It is a super-2 number, since 2×1378636900² = 3801279404083220000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1378636907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17451061 + ... + 17451139.

Almost surely, 2^1378636900 is an apocalyptic number.

1378636900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1378636900 is the 37130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1378636900

1378636900 is an abundant number, since it is smaller than the sum of its proper divisors (1717192949).

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

1378636900 is an equidigital number, since it uses as much as digits as its factorization.

1378636900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The cubic root of 1378636900 is about 1112.9695934466.

The spelling of 1378636900 in words is "one billion, three hundred seventy-eight million, six hundred thirty-six thousand, nine hundred".