38462120 has 64 divisors (see below), whose sum is σ = 90979200. Its totient is φ = 14613760.

The previous prime is 38462119. The next prime is 38462131. The reversal of 38462120 is 2126483.

It is a self number, because there is not a number n which added to its sum of digits gives 38462120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82127 + ... + 82593.

It is an arithmetic number, because the mean of its divisors is an integer number (1421550).

Almost surely, 2^38462120 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 38462120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45489600).

38462120 is an abundant number, since it is smaller than the sum of its proper divisors (52517080).

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

38462120 is a wasteful number, since it uses less digits than its factorization.

38462120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 38462120 is about 6201.7836144129. The cubic root of 38462120 is about 337.5548918491.

The spelling of 38462120 in words is "thirty-eight million, four hundred sixty-two thousand, one hundred twenty".