38349360 has 180 divisors, whose sum is σ = 149954688. Its totient is φ = 8757504.

The previous prime is 38349359. The next prime is 38349371. The reversal of 38349360 is 6394383.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34737 + ... + 35823.

Almost surely, 2^38349360 is an apocalyptic number.

38349360 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 38349360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74977344).

38349360 is an abundant number, since it is smaller than the sum of its proper divisors (111605328).

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

38349360 is a wasteful number, since it uses less digits than its factorization.

38349360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 38349360 is about 6192.6860085104. The cubic root of 38349360 is about 337.2246973041.

The spelling of 38349360 in words is "thirty-eight million, three hundred forty-nine thousand, three hundred sixty".