38077368 has 128 divisors (see below), whose sum is σ = 116736000. Its totient is φ = 10108800.

The previous prime is 38077363. The next prime is 38077381. The reversal of 38077368 is 86377083.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38077363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252093 + ... + 252243.

It is an arithmetic number, because the mean of its divisors is an integer number (912000).

Almost surely, 2^38077368 is an apocalyptic number.

38077368 is a gapful number since it is divisible by the number (38) 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 38077368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58368000).

38077368 is an abundant number, since it is smaller than the sum of its proper divisors (78658632).

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

38077368 is a wasteful number, since it uses less digits than its factorization.

38077368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 38077368 is about 6170.6861855064. The cubic root of 38077368 is about 336.4255520704.

It can be divided in two parts, 3807 and 7368, that added together give a triangular number (11175 = T₁₄₉).

The spelling of 38077368 in words is "thirty-eight million, seventy-seven thousand, three hundred sixty-eight".