38876640 has 192 divisors, whose sum is σ = 137894400. Its totient is φ = 9123840.

The previous prime is 38876623. The next prime is 38876653. The reversal of 38876640 is 4667883.

It is a super-2 number, since 2×38876640² = 3022786275379200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38876592 and 38876601.

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 31 ways as a sum of consecutive naturals, for example, 195261 + ... + 195459.

It is an arithmetic number, because the mean of its divisors is an integer number (718200).

Almost surely, 2^38876640 is an apocalyptic number.

38876640 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 38876640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

38876640 is an abundant number, since it is smaller than the sum of its proper divisors (99017760).

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

38876640 is a wasteful number, since it uses less digits than its factorization.

38876640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 38876640 is about 6235.1134713011. The cubic root of 38876640 is about 338.7632112239.

It can be divided in two parts, 388 and 76640, that added together give a triangular number (77028 = T₃₉₂).

The spelling of 38876640 in words is "thirty-eight million, eight hundred seventy-six thousand, six hundred forty".