38609648 has 120 divisors (see below), whose sum is σ = 98301744. Its totient is φ = 14636160.

The previous prime is 38609639. The next prime is 38609677. The reversal of 38609648 is 84690683.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 38609599 and 38609608.

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, 1043486 + ... + 1043522.

Almost surely, 2^38609648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38609648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49150872).

38609648 is an abundant number, since it is smaller than the sum of its proper divisors (59692096).

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

38609648 is a wasteful number, since it uses less digits than its factorization.

38609648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 38609648 is about 6213.6662285643. Note that the first 3 decimals coincide. The cubic root of 38609648 is about 337.9859242764.

The spelling of 38609648 in words is "thirty-eight million, six hundred nine thousand, six hundred forty-eight".