38166100 has 54 divisors (see below), whose sum is σ = 96354510. Its totient is φ = 13083840.

The previous prime is 38166091. The next prime is 38166101. The reversal of 38166100 is 166183.

It can be written as a sum of positive squares in 3 ways, for example, as 3261636 + 34904464 = 1806^2 + 5908^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38166101) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1006 + ... + 8794.

Almost surely, 2^38166100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48177255).

38166100 is an abundant number, since it is smaller than the sum of its proper divisors (58188410).

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

38166100 is a wasteful number, since it uses less digits than its factorization.

38166100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7817 (or 7803 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 38166100 is about 6177.8718018424. The cubic root of 38166100 is about 336.6866744092.

The spelling of 38166100 in words is "thirty-eight million, one hundred sixty-six thousand, one hundred".