38424420 has 144 divisors (see below), whose sum is σ = 127960560. Its totient is φ = 9289728.

The previous prime is 38424409. The next prime is 38424431. The reversal of 38424420 is 2442483.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38424409) and next prime (38424431).

It can be written as a sum of positive squares in 8 ways, for example, as 675684 + 37748736 = 822^2 + 6144^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88524 + ... + 88956.

It is an arithmetic number, because the mean of its divisors is an integer number (888615).

Almost surely, 2^38424420 is an apocalyptic number.

38424420 is a gapful number since it is divisible by the number (30) 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 38424420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63980280).

38424420 is an abundant number, since it is smaller than the sum of its proper divisors (89536140).

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

38424420 is a wasteful number, since it uses less digits than its factorization.

38424420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 38424420 is about 6198.7434210491. The cubic root of 38424420 is about 337.4445670276. Note that the first 3 decimals are identical.

The spelling of 38424420 in words is "thirty-eight million, four hundred twenty-four thousand, four hundred twenty".