1385639100 has 108 divisors (see below), whose sum is σ = 4359460560. Its totient is φ = 368121600.

The previous prime is 1385639093. The next prime is 1385639137. The reversal of 1385639100 is 19365831.

It is a happy number.

1385639100 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 639 + 10 + 0 = 666.

1385639100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 250161 + ... + 255639.

Almost surely, 2^1385639100 is an apocalyptic number.

1385639100 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 1385639100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179730280).

1385639100 is an abundant number, since it is smaller than the sum of its proper divisors (2973821460).

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

1385639100 is a wasteful number, since it uses less digits than its factorization.

1385639100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780 (or 5770 counting only the distinct ones).

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

The square root of 1385639100 is about 37224.1735972741. The cubic root of 1385639100 is about 1114.8506975646.

The spelling of 1385639100 in words is "one billion, three hundred eighty-five million, six hundred thirty-nine thousand, one hundred".