38901540 has 48 divisors (see below), whose sum is σ = 110561472. Its totient is φ = 10217856.

The previous prime is 38901529. The next prime is 38901547. The reversal of 38901540 is 4510983.

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 = 38901498 and 38901507.

It is not an unprimeable number, because it can be changed into a prime (38901547) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 819 + ... + 8858.

It is an arithmetic number, because the mean of its divisors is an integer number (2303364).

Almost surely, 2^38901540 is an apocalyptic number.

38901540 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 38901540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55280736).

38901540 is an abundant number, since it is smaller than the sum of its proper divisors (71659932).

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

38901540 is a wasteful number, since it uses less digits than its factorization.

38901540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9756 (or 9754 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 38901540 is about 6237.1099076415. The cubic root of 38901540 is about 338.8355203168.

The spelling of 38901540 in words is "thirty-eight million, nine hundred one thousand, five hundred forty".