1381829100 has 72 divisors (see below), whose sum is σ = 4007743488. Its totient is φ = 367598400.

The previous prime is 1381829087. The next prime is 1381829107. The reversal of 1381829100 is 19281831.

It is not an unprimeable number, because it can be changed into a prime (1381829107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123957 + ... + 134643.

It is an arithmetic number, because the mean of its divisors is an integer number (55663104).

Almost surely, 2^1381829100 is an apocalyptic number.

1381829100 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 1381829100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2003871744).

1381829100 is an abundant number, since it is smaller than the sum of its proper divisors (2625914388).

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

1381829100 is a wasteful number, since it uses less digits than its factorization.

1381829100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11135 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1381829100 is about 37172.9619481687. The cubic root of 1381829100 is about 1113.8279492378.

The spelling of 1381829100 in words is "one billion, three hundred eighty-one million, eight hundred twenty-nine thousand, one hundred".