38753040 has 40 divisors (see below), whose sum is σ = 120135168. Its totient is φ = 10334080.

The previous prime is 38753021. The next prime is 38753107. The reversal of 38753040 is 4035783.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 38752989 and 38753007.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 80496 + ... + 80975.

Almost surely, 2^38753040 is an apocalyptic number.

38753040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38753040 is an abundant number, since it is smaller than the sum of its proper divisors (81382128).

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

38753040 is a wasteful number, since it uses less digits than its factorization.

38753040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161487 (or 161481 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 38753040 is about 6225.1939728815. The cubic root of 38753040 is about 338.4038215844.

The spelling of 38753040 in words is "thirty-eight million, seven hundred fifty-three thousand, forty".