38779440 has 160 divisors (see below), whose sum is σ = 140990976. Its totient is φ = 8632320.

The previous prime is 38779439. The next prime is 38779451. The reversal of 38779440 is 4497783.

38779440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 38779392 and 38779401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68599 + ... + 69161.

Almost surely, 2^38779440 is an apocalyptic number.

38779440 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 38779440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70495488).

38779440 is an abundant number, since it is smaller than the sum of its proper divisors (102211536).

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

38779440 is a wasteful number, since it uses less digits than its factorization.

38779440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

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

The square root of 38779440 is about 6227.3140277330. The cubic root of 38779440 is about 338.4806485290.

The spelling of 38779440 in words is "thirty-eight million, seven hundred seventy-nine thousand, four hundred forty".