38564100 has 189 divisors, whose sum is σ = 131161093. Its totient is φ = 9836640.

The previous prime is 38564083. The next prime is 38564107. The reversal of 38564100 is 146583.

The square root of 38564100 is 6210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13883076 + 24681024 = 3726^2 + 4968^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38564107) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1676689 + ... + 1676711.

Almost surely, 2^38564100 is an apocalyptic number.

38564100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38564100 is the 6210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38564100

38564100 is an abundant number, since it is smaller than the sum of its proper divisors (92596993).

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

38564100 is a wasteful number, since it uses less digits than its factorization.

38564100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 38564100 is about 337.8529640680.

The spelling of 38564100 in words is "thirty-eight million, five hundred sixty-four thousand, one hundred".