39783648 has 24 divisors (see below), whose sum is σ = 104432328. Its totient is φ = 13261184.

The previous prime is 39783617. The next prime is 39783649. The reversal of 39783648 is 84638793.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 39783597 and 39783606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39783649) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 207111 + ... + 207302.

It is an arithmetic number, because the mean of its divisors is an integer number (4351347).

Almost surely, 2^39783648 is an apocalyptic number.

It is an amenable number.

39783648 is an abundant number, since it is smaller than the sum of its proper divisors (64648680).

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

39783648 is a wasteful number, since it uses less digits than its factorization.

39783648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414426 (or 414418 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 39783648 is about 6307.4280019672. The cubic root of 39783648 is about 341.3774797773.

It can be divided in two parts, 3978 and 3648, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 39783648 in words is "thirty-nine million, seven hundred eighty-three thousand, six hundred forty-eight".