38116320 has 96 divisors (see below), whose sum is σ = 130999680. Its totient is φ = 9239040.

The previous prime is 38116259. The next prime is 38116321. The reversal of 38116320 is 2361183.

Added to its reverse (2361183) it gives a triangular number (40477503 = T₈₉₉₇).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38116321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1671 + ... + 8889.

It is an arithmetic number, because the mean of its divisors is an integer number (1364580).

Almost surely, 2^38116320 is an apocalyptic number.

38116320 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 38116320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65499840).

38116320 is an abundant number, since it is smaller than the sum of its proper divisors (92883360).

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

38116320 is a wasteful number, since it uses less digits than its factorization.

38116320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7248 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 38116320 is about 6173.8415917482. The cubic root of 38116320 is about 336.5402307089.

Adding to 38116320 its reverse (2361183), we get a triangular number (40477503 = T₈₉₉₇).

It can be divided in two parts, 381163 and 20, that added together give a palindrome (381183).

The spelling of 38116320 in words is "thirty-eight million, one hundred sixteen thousand, three hundred twenty".