38346336 has 144 divisors (see below), whose sum is σ = 130201344. Its totient is φ = 10467072.

The previous prime is 38346317. The next prime is 38346337. The reversal of 38346336 is 63364383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 38346336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38346337) 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, 45955 + ... + 46781.

It is an arithmetic number, because the mean of its divisors is an integer number (904176).

Almost surely, 2^38346336 is an apocalyptic number.

38346336 is a gapful number since it is divisible by the number (36) 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 38346336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65100672).

38346336 is an abundant number, since it is smaller than the sum of its proper divisors (91855008).

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

38346336 is a wasteful number, since it uses less digits than its factorization.

38346336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 38346336 is about 6192.4418447007. The cubic root of 38346336 is about 337.2158332336.

The spelling of 38346336 in words is "thirty-eight million, three hundred forty-six thousand, three hundred thirty-six".