39381381900 has 504 divisors, whose sum is σ = 147507607520. Its totient is φ = 8935557120.

The previous prime is 39381381889. The next prime is 39381381911. The reversal of 39381381900 is 918318393.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (39381381889) and next prime (39381381911).

It is a super-2 number, since 2×39381381900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 116858532 + ... + 116858868.

Almost surely, 2^39381381900 is an apocalyptic number.

39381381900 is a gapful number since it is divisible by the number (30) 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 39381381900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73753803760).

39381381900 is an abundant number, since it is smaller than the sum of its proper divisors (108126225620).

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

39381381900 is a wasteful number, since it uses less digits than its factorization.

39381381900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 39381381900 in words is "thirty-nine billion, three hundred eighty-one million, three hundred eighty-one thousand, nine hundred".