38312736 has 192 divisors, whose sum is σ = 128894976. Its totient is φ = 9676800.

The previous prime is 38312719. The next prime is 38312749. The reversal of 38312736 is 63721383.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38312697 and 38312706.

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, 524796 + ... + 524868.

It is an arithmetic number, because the mean of its divisors is an integer number (671328).

Almost surely, 2^38312736 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 38312736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64447488).

38312736 is an abundant number, since it is smaller than the sum of its proper divisors (90582240).

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

38312736 is a wasteful number, since it uses less digits than its factorization.

38312736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 38312736 is about 6189.7282654411. The cubic root of 38312736 is about 337.1173121916.

The spelling of 38312736 in words is "thirty-eight million, three hundred twelve thousand, seven hundred thirty-six".