38344460 has 72 divisors (see below), whose sum is σ = 102214224. Its totient is φ = 11948160.

The previous prime is 38344459. The next prime is 38344463. The reversal of 38344460 is 6444383.

It is a super-3 number, since 3×38344460³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38344463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9002 + ... + 12558.

It is an arithmetic number, because the mean of its divisors is an integer number (1419642).

Almost surely, 2^38344460 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 38344460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51107112).

38344460 is an abundant number, since it is smaller than the sum of its proper divisors (63869764).

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

38344460 is a wasteful number, since it uses less digits than its factorization.

38344460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 38344460 is about 6192.2903678687. The cubic root of 38344460 is about 337.2103339927.

The spelling of 38344460 in words is "thirty-eight million, three hundred forty-four thousand, four hundred sixty".