38294480 has 60 divisors (see below), whose sum is σ = 103581540. Its totient is φ = 13128192.

The previous prime is 38294479. The next prime is 38294483. The reversal of 38294480 is 8449283.

It can be written as a sum of positive squares in 2 ways, for example, as 13454224 + 24840256 = 3668^2 + 4984^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38294483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 965 + ... + 8804.

It is an arithmetic number, because the mean of its divisors is an integer number (1726359).

Almost surely, 2^38294480 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 38294480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51790770).

38294480 is an abundant number, since it is smaller than the sum of its proper divisors (65287060).

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

38294480 is a wasteful number, since it uses less digits than its factorization.

38294480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9796 (or 9783 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 38294480 is about 6188.2533884772. The cubic root of 38294480 is about 337.0637582730.

The spelling of 38294480 in words is "thirty-eight million, two hundred ninety-four thousand, four hundred eighty".