38542020 has 96 divisors (see below), whose sum is σ = 122895360. Its totient is φ = 8933760.

The previous prime is 38542001. The next prime is 38542039. The reversal of 38542020 is 2024583.

It is an interprime number because it is at equal distance from previous prime (38542001) and next prime (38542039).

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, 13911 + ... + 16449.

It is an arithmetic number, because the mean of its divisors is an integer number (1280160).

Almost surely, 2^38542020 is an apocalyptic number.

38542020 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 38542020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

38542020 is an abundant number, since it is smaller than the sum of its proper divisors (84353340).

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

38542020 is a wasteful number, since it uses less digits than its factorization.

38542020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2583 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 38542020 is about 6208.2219676812. The cubic root of 38542020 is about 337.7884721561.

The spelling of 38542020 in words is "thirty-eight million, five hundred forty-two thousand, twenty".