38462424 has 128 divisors (see below), whose sum is σ = 129185280. Its totient is φ = 9216000.

The previous prime is 38462407. The next prime is 38462443. The reversal of 38462424 is 42426483.

38462424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23224 + ... + 24824.

It is an arithmetic number, because the mean of its divisors is an integer number (1009260).

Almost surely, 2^38462424 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 38462424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64592640).

38462424 is an abundant number, since it is smaller than the sum of its proper divisors (90722856).

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

38462424 is a wasteful number, since it uses less digits than its factorization.

38462424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641 (or 1637 counting only the distinct ones).

The product of its digits is 36864, while the sum is 33.

The square root of 38462424 is about 6201.8081234427. The cubic root of 38462424 is about 337.5557811779. Note that the first 3 decimals are identical.

It can be divided in two parts, 384 and 62424, that multiplied together give a square (23970816 = 4896²).

The spelling of 38462424 in words is "thirty-eight million, four hundred sixty-two thousand, four hundred twenty-four".