38888100 has 90 divisors (see below), whose sum is σ = 126086114. Its totient is φ = 10368000.

The previous prime is 38888081. The next prime is 38888111. The reversal of 38888100 is 188883.

It can be written as a sum of positive squares in 3 ways, for example, as 3175524 + 35712576 = 1782^2 + 5976^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×38888100² = 3024568643220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5700 + ... + 10500.

Almost surely, 2^38888100 is an apocalyptic number.

38888100 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 38888100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63043057).

38888100 is an abundant number, since it is smaller than the sum of its proper divisors (87198014).

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

38888100 is a wasteful number, since it uses less digits than its factorization.

38888100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 38888100 is about 6236.0323924752. The cubic root of 38888100 is about 338.7964946643.

It can be divided in two parts, 388 and 88100, that added together give a palindrome (88488).

The spelling of 38888100 in words is "thirty-eight million, eight hundred eighty-eight thousand, one hundred".