1381635900 has 288 divisors, whose sum is σ = 4859688960. Its totient is φ = 335232000.

The previous prime is 1381635847. The next prime is 1381635943. The reversal of 1381635900 is 95361831.

It is a happy number.

1381635900 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 63 + 590 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1422415 + ... + 1423385.

It is an arithmetic number, because the mean of its divisors is an integer number (16873920).

Almost surely, 2^1381635900 is an apocalyptic number.

1381635900 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 1381635900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429844480).

1381635900 is an abundant number, since it is smaller than the sum of its proper divisors (3478053060).

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

1381635900 is a wasteful number, since it uses less digits than its factorization.

1381635900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1381635900 is about 37170.3631943515. The cubic root of 1381635900 is about 1113.7760369838.

The spelling of 1381635900 in words is "one billion, three hundred eighty-one million, six hundred thirty-five thousand, nine hundred".