38897292842100 has 972 divisors, whose sum is σ = 158834941499052. Its totient is φ = 7929995673600.

The previous prime is 38897292842081. The next prime is 38897292842113. The reversal of 38897292842100 is 124829279883.

38897292842100 is a `hidden beast` number, since 3 + 88 + 97 + 29 + 28 + 421 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1146861079056 + 37750431763044 = 1070916^2 + 6144138^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 282744532 + ... + 282882068.

It is an arithmetic number, because the mean of its divisors is an integer number (163410433641).

Almost surely, 2^{38897292842100} is an apocalyptic number.

38897292842100 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 38897292842100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79417470749526).

38897292842100 is an abundant number, since it is smaller than the sum of its proper divisors (119937648656952).

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

38897292842100 is a wasteful number, since it uses less digits than its factorization.

38897292842100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137646 (or 137618 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 38897292842100 in words is "thirty-eight trillion, eight hundred ninety-seven billion, two hundred ninety-two million, eight hundred forty-two thousand, one hundred".