38283960 has 256 divisors, whose sum is σ = 142248960. Its totient is φ = 8110080.

The previous prime is 38283943. The next prime is 38283989. The reversal of 38283960 is 6938283.

It is a super-3 number, since 3×38283960³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 394632 + ... + 394728.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 2^38283960 is an apocalyptic number.

38283960 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 38283960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

38283960 is an abundant number, since it is smaller than the sum of its proper divisors (103965000).

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

38283960 is a wasteful number, since it uses less digits than its factorization.

38283960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 38283960 is about 6187.4033325782. The cubic root of 38283960 is about 337.0328901558.

The spelling of 38283960 in words is "thirty-eight million, two hundred eighty-three thousand, nine hundred sixty".