38303760 has 120 divisors (see below), whose sum is σ = 130616640. Its totient is φ = 9278720.

The previous prime is 38303747. The next prime is 38303773. The reversal of 38303760 is 6730383.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38303747) and next prime (38303773).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28381 + ... + 29699.

It is an arithmetic number, because the mean of its divisors is an integer number (1088472).

Almost surely, 2^38303760 is an apocalyptic number.

38303760 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 38303760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65308320).

38303760 is an abundant number, since it is smaller than the sum of its proper divisors (92312880).

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

38303760 is a wasteful number, since it uses less digits than its factorization.

38303760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 38303760 is about 6189.0031507505. The cubic root of 38303760 is about 337.0909832502.

The spelling of 38303760 in words is "thirty-eight million, three hundred three thousand, seven hundred sixty".