38353440 has 48 divisors (see below), whose sum is σ = 120814848. Its totient is φ = 10227456.

The previous prime is 38353433. The next prime is 38353451. The reversal of 38353440 is 4435383.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 38353398 and 38353407.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39472 + ... + 40431.

It is an arithmetic number, because the mean of its divisors is an integer number (2516976).

Almost surely, 2^38353440 is an apocalyptic number.

38353440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38353440 is an abundant number, since it is smaller than the sum of its proper divisors (82461408).

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

38353440 is a wasteful number, since it uses less digits than its factorization.

38353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79921 (or 79913 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 38353440 is about 6193.0154206170. The cubic root of 38353440 is about 337.2366560259.

The spelling of 38353440 in words is "thirty-eight million, three hundred fifty-three thousand, four hundred forty".