38567040 has 128 divisors (see below), whose sum is σ = 125582400. Its totient is φ = 10063872.

The previous prime is 38567027. The next prime is 38567051. The reversal of 38567040 is 4076583.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 38566992 and 38567010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101571 + ... + 101949.

Almost surely, 2^38567040 is an apocalyptic number.

38567040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62791200).

38567040 is an abundant number, since it is smaller than the sum of its proper divisors (87015360).

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

38567040 is a wasteful number, since it uses less digits than its factorization.

38567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 38567040 is about 6210.2367104644. The cubic root of 38567040 is about 337.8615494490.

The spelling of 38567040 in words is "thirty-eight million, five hundred sixty-seven thousand, forty".