38463120 has 80 divisors (see below), whose sum is σ = 132491520. Its totient is φ = 10256256.

The previous prime is 38463101. The next prime is 38463121. The reversal of 38463120 is 2136483.

It is a happy number.

38463120 is a `hidden beast` number, since 3 + 8 + 4 + 631 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (38463121) by changing a digit.

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, 6744 + ... + 11063.

It is an arithmetic number, because the mean of its divisors is an integer number (1656144).

Almost surely, 2^38463120 is an apocalyptic number.

38463120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38463120 is an abundant number, since it is smaller than the sum of its proper divisors (94028400).

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

38463120 is a wasteful number, since it uses less digits than its factorization.

38463120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17829 (or 17817 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38463120 is about 6201.8642358568. The cubic root of 38463120 is about 337.5578172552.

It can be divided in two parts, 38463 and 120, that added together give a palindrome (38583).

The spelling of 38463120 in words is "thirty-eight million, four hundred sixty-three thousand, one hundred twenty".