38424672 has 192 divisors, whose sum is σ = 132088320. Its totient is φ = 10713600.

The previous prime is 38424649. The next prime is 38424689. The reversal of 38424672 is 27642483.

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, 123397 + ... + 123707.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 2^38424672 is an apocalyptic number.

38424672 is a gapful number since it is divisible by the number (32) 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 38424672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160).

38424672 is an abundant number, since it is smaller than the sum of its proper divisors (93663648).

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

38424672 is a wasteful number, since it uses less digits than its factorization.

38424672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 38424672 is about 6198.7637477162. The cubic root of 38424672 is about 337.4453047168.

The spelling of 38424672 in words is "thirty-eight million, four hundred twenty-four thousand, six hundred seventy-two".