38573040 has 160 divisors (see below), whose sum is σ = 137491200. Its totient is φ = 8847360.

The previous prime is 38573033. The next prime is 38573053. The reversal of 38573040 is 4037583.

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 = 38572989 and 38573007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49776 + ... + 50544.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^38573040 is an apocalyptic number.

38573040 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 38573040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68745600).

38573040 is an abundant number, since it is smaller than the sum of its proper divisors (98918160).

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

38573040 is a wasteful number, since it uses less digits than its factorization.

38573040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 809 counting only the distinct ones).

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

The square root of 38573040 is about 6210.7197650514. The cubic root of 38573040 is about 337.8790692809.

The spelling of 38573040 in words is "thirty-eight million, five hundred seventy-three thousand, forty".