1387332100 has 144 divisors (see below), whose sum is σ = 3831004800. Its totient is φ = 432297600.

The previous prime is 1387332071. The next prime is 1387332109. The reversal of 1387332100 is 12337831.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1387332109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375462 + ... + 379138.

It is an arithmetic number, because the mean of its divisors is an integer number (26604200).

Almost surely, 2^1387332100 is an apocalyptic number.

1387332100 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 1387332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915502400).

1387332100 is an abundant number, since it is smaller than the sum of its proper divisors (2443672700).

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

1387332100 is a wasteful number, since it uses less digits than its factorization.

1387332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3702 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 1387332100 is about 37246.9072541600. The cubic root of 1387332100 is about 1115.3045613083.

Adding to 1387332100 its reverse (12337831), we get a palindrome (1399669931).

The spelling of 1387332100 in words is "one billion, three hundred eighty-seven million, three hundred thirty-two thousand, one hundred".