38954560 has 112 divisors (see below), whose sum is σ = 100584000. Its totient is φ = 14321664.

The previous prime is 38954557. The next prime is 38954563. The reversal of 38954560 is 6545983.

It is an interprime number because it is at equal distance from previous prime (38954557) and next prime (38954563).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (38954563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261366 + ... + 261514.

It is a vampire number, since it can be written as 4085 ⋅ 9536 (with its own digits).

Almost surely, 2^38954560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50292000).

38954560 is an abundant number, since it is smaller than the sum of its proper divisors (61629440).

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

38954560 is a wasteful number, since it uses less digits than its factorization.

38954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 38954560 is about 6241.3588264095. The cubic root of 38954560 is about 338.9893865799.

The spelling of 38954560 in words is "thirty-eight million, nine hundred fifty-four thousand, five hundred sixty".