1381074800 has 180 divisors, whose sum is σ = 3986012736. Its totient is φ = 458035200.

The previous prime is 1381074763. The next prime is 1381074823. The reversal of 1381074800 is 84701831.

1381074800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 606464 + ... + 608736.

Almost surely, 2^1381074800 is an apocalyptic number.

1381074800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381074800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993006368).

1381074800 is an abundant number, since it is smaller than the sum of its proper divisors (2604937936).

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

1381074800 is a wasteful number, since it uses less digits than its factorization.

1381074800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 1381074800 is about 37162.8147480785. The cubic root of 1381074800 is about 1113.6252436738.

The spelling of 1381074800 in words is "one billion, three hundred eighty-one million, seventy-four thousand, eight hundred".