38403120 has 80 divisors (see below), whose sum is σ = 136062720. Its totient is φ = 8777472.

The previous prime is 38403097. The next prime is 38403121. The reversal of 38403120 is 2130483.

It is a happy number.

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 (21).

It is not an unprimeable number, because it can be changed into a prime (38403121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9750 + ... + 13109.

It is an arithmetic number, because the mean of its divisors is an integer number (1700784).

Almost surely, 2^38403120 is an apocalyptic number.

38403120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38403120 is an abundant number, since it is smaller than the sum of its proper divisors (97659600).

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

38403120 is a wasteful number, since it uses less digits than its factorization.

38403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22882 (or 22876 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 38403120 is about 6197.0250927360. The cubic root of 38403120 is about 337.3822030605.

The spelling of 38403120 in words is "thirty-eight million, four hundred three thousand, one hundred twenty".