38068100 has 108 divisors (see below), whose sum is σ = 101970036. Its totient is φ = 12257280.

The previous prime is 38068099. The next prime is 38068169. The reversal of 38068100 is 186083.

It can be written as a sum of positive squares in 6 ways, for example, as 1658944 + 36409156 = 1288^2 + 6034^2 .

It is a super-2 number, since 2×38068100² = 2898360475220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38068100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 83072 + ... + 83528.

It is an arithmetic number, because the mean of its divisors is an integer number (944167).

Almost surely, 2^38068100 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 38068100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50985018).

38068100 is an abundant number, since it is smaller than the sum of its proper divisors (63901936).

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

38068100 is a wasteful number, since it uses less digits than its factorization.

38068100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 38068100 is about 6169.9351698377. The cubic root of 38068100 is about 336.3982546215.

The spelling of 38068100 in words is "thirty-eight million, sixty-eight thousand, one hundred".