1383542820 has 144 divisors (see below), whose sum is σ = 4602806208. Its totient is φ = 333607680.

The previous prime is 1383542819. The next prime is 1383542833. The reversal of 1383542820 is 282453831.

1383542820 is a `hidden beast` number, since 1 + 38 + 3 + 542 + 82 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 388287 + ... + 391833.

It is an arithmetic number, because the mean of its divisors is an integer number (31963932).

Almost surely, 2^1383542820 is an apocalyptic number.

1383542820 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 1383542820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301403104).

1383542820 is an abundant number, since it is smaller than the sum of its proper divisors (3219263388).

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

1383542820 is a wasteful number, since it uses less digits than its factorization.

1383542820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770 (or 3765 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1383542820 is about 37196.0054306911. The cubic root of 1383542820 is about 1114.2882089265.

The spelling of 1383542820 in words is "one billion, three hundred eighty-three million, five hundred forty-two thousand, eight hundred twenty".