38377296 has 120 divisors (see below), whose sum is σ = 116034984. Its totient is φ = 11796480.

The previous prime is 38377289. The next prime is 38377309. The reversal of 38377296 is 69277383.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11128896 + 27248400 = 3336^2 + 5220^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149200 + ... + 149456.

Almost surely, 2^38377296 is an apocalyptic number.

38377296 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 38377296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58017492).

38377296 is an abundant number, since it is smaller than the sum of its proper divisors (77657688).

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

38377296 is a wasteful number, since it uses less digits than its factorization.

38377296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 340 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 38377296 is about 6194.9411619482. The cubic root of 38377296 is about 337.3065624038.

The spelling of 38377296 in words is "thirty-eight million, three hundred seventy-seven thousand, two hundred ninety-six".