38719296 has 280 divisors, whose sum is σ = 144572736. Its totient is φ = 9953280.

The previous prime is 38719253. The next prime is 38719297. The reversal of 38719296 is 69291783.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38719297) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 399120 + ... + 399216.

Almost surely, 2^38719296 is an apocalyptic number.

38719296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38719296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72286368).

38719296 is an abundant number, since it is smaller than the sum of its proper divisors (105853440).

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

38719296 is a wasteful number, since it uses less digits than its factorization.

38719296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 38719296 is about 6222.4831056420. The cubic root of 38719296 is about 338.3055719629.

It can be divided in two parts, 387 and 19296, that added together give a 9-th power (19683 = 3⁹).

The spelling of 38719296 in words is "thirty-eight million, seven hundred nineteen thousand, two hundred ninety-six".