38421936 has 120 divisors (see below), whose sum is σ = 125658624. Its totient is φ = 10730880.

The previous prime is 38421931. The next prime is 38421941. The reversal of 38421936 is 63912483.

It is an interprime number because it is at equal distance from previous prime (38421931) and next prime (38421941).

It is a super-4 number, since 4×38421936⁴ (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 38421936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38421931) 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, 46971 + ... + 47781.

Almost surely, 2^38421936 is an apocalyptic number.

38421936 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 38421936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62829312).

38421936 is an abundant number, since it is smaller than the sum of its proper divisors (87236688).

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

38421936 is a wasteful number, since it uses less digits than its factorization.

38421936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 870 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 38421936 is about 6198.5430546218. The cubic root of 38421936 is about 337.4372953466.

It can be divided in two parts, 3842 and 1936, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 38421936 in words is "thirty-eight million, four hundred twenty-one thousand, nine hundred thirty-six".