38205972 has 96 divisors (see below), whose sum is σ = 114589440. Its totient is φ = 10782720.

The previous prime is 38205949. The next prime is 38205989. The reversal of 38205972 is 27950283.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73072 + ... + 73592.

It is an arithmetic number, because the mean of its divisors is an integer number (1193640).

Almost surely, 2^38205972 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 38205972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57294720).

38205972 is an abundant number, since it is smaller than the sum of its proper divisors (76383468).

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

38205972 is a wasteful number, since it uses less digits than its factorization.

38205972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 38205972 is about 6181.0979607186. The cubic root of 38205972 is about 336.8038787606.

The spelling of 38205972 in words is "thirty-eight million, two hundred five thousand, nine hundred seventy-two".