38410020 has 144 divisors (see below), whose sum is σ = 133922880. Its totient is φ = 8812800.

The previous prime is 38410019. The next prime is 38410027. The reversal of 38410020 is 2001483.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 38409975 and 38410002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38410027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37110 + ... + 38130.

It is an arithmetic number, because the mean of its divisors is an integer number (930020).

Almost surely, 2^38410020 is an apocalyptic number.

38410020 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 38410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66961440).

38410020 is an abundant number, since it is smaller than the sum of its proper divisors (95512860).

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

38410020 is a wasteful number, since it uses less digits than its factorization.

38410020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 38410020 is about 6197.5817864712. The cubic root of 38410020 is about 337.4024079969.

It can be divided in two parts, 384 and 10020, that added together give a square (10404 = 102²).

The spelling of 38410020 in words is "thirty-eight million, four hundred ten thousand, twenty".