38761520 has 80 divisors (see below), whose sum is σ = 108445440. Its totient is φ = 12586752.

The previous prime is 38761517. The next prime is 38761529. The reversal of 38761520 is 2516783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38761529) 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, 8819 + ... + 12461.

It is an arithmetic number, because the mean of its divisors is an integer number (1355568).

Almost surely, 2^38761520 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 38761520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54222720).

38761520 is an abundant number, since it is smaller than the sum of its proper divisors (69683920).

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

38761520 is a wasteful number, since it uses less digits than its factorization.

38761520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3682 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 38761520 is about 6225.8750389002. The cubic root of 38761520 is about 338.4285031330.

The spelling of 38761520 in words is "thirty-eight million, seven hundred sixty-one thousand, five hundred twenty".