38981294100 has 864 divisors, whose sum is σ = 155990016000. Its totient is φ = 7937740800.

The previous prime is 38981294087. The next prime is 38981294119. The reversal of 38981294100 is 149218983.

38981294100 is a `hidden beast` number, since 389 + 81 + 2 + 94 + 100 = 666.

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 287 ways as a sum of consecutive naturals, for example, 195885801 + ... + 195885999.

It is an arithmetic number, because the mean of its divisors is an integer number (180544000).

Almost surely, 2^38981294100 is an apocalyptic number.

38981294100 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 38981294100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77995008000).

38981294100 is an abundant number, since it is smaller than the sum of its proper divisors (117008721900).

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

38981294100 is a wasteful number, since it uses less digits than its factorization.

38981294100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 38981294100 in words is "thirty-eight billion, nine hundred eighty-one million, two hundred ninety-four thousand, one hundred".