38077648 has 40 divisors (see below), whose sum is σ = 85010432. Its totient is φ = 16184448.

The previous prime is 38077631. The next prime is 38077649. The reversal of 38077648 is 84677083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38077649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12886 + ... + 15562.

Almost surely, 2^38077648 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 38077648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42505216).

38077648 is an abundant number, since it is smaller than the sum of its proper divisors (46932784).

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

38077648 is a wasteful number, since it uses less digits than its factorization.

38077648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 43.

The square root of 38077648 is about 6170.7088733791. The cubic root of 38077648 is about 336.4263766978.

The spelling of 38077648 in words is "thirty-eight million, seventy-seven thousand, six hundred forty-eight".