38798496 has 144 divisors (see below), whose sum is σ = 123990048. Its totient is φ = 11404800.

The previous prime is 38798489. The next prime is 38798497. The reversal of 38798496 is 69489783.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (2612736) is a multiple of the sum of its prime divisors (384).

It is not an unprimeable number, because it can be changed into a prime (38798497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117051 + ... + 117381.

It is an arithmetic number, because the mean of its divisors is an integer number (861042).

Almost surely, 2^38798496 is an apocalyptic number.

38798496 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 38798496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61995024).

38798496 is an abundant number, since it is smaller than the sum of its proper divisors (85191552).

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

38798496 is a wasteful number, since it uses less digits than its factorization.

38798496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 38798496 is about 6228.8438734648. The cubic root of 38798496 is about 338.5360819495.

The spelling of 38798496 in words is "thirty-eight million, seven hundred ninety-eight thousand, four hundred ninety-six".