39492768 has 96 divisors (see below), whose sum is σ = 125483904. Its totient is φ = 10616832.

The previous prime is 39492763. The next prime is 39492769. The reversal of 39492768 is 86729493.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (39492763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9696 + ... + 13152.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^39492768 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 39492768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62741952).

39492768 is an abundant number, since it is smaller than the sum of its proper divisors (85991136).

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

39492768 is a wasteful number, since it uses less digits than its factorization.

39492768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494 (or 3486 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 39492768 is about 6284.3271716231. The cubic root of 39492768 is about 340.5434446389.

The spelling of 39492768 in words is "thirty-nine million, four hundred ninety-two thousand, seven hundred sixty-eight".