39146016 has 96 divisors (see below), whose sum is σ = 126499968. Its totient is φ = 10321920.

The previous prime is 39145991. The next prime is 39146033. The reversal of 39146016 is 61064193.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6496 + ... + 10976.

It is an arithmetic number, because the mean of its divisors is an integer number (1317708).

Almost surely, 2^39146016 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 39146016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63249984).

39146016 is an abundant number, since it is smaller than the sum of its proper divisors (87353952).

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

39146016 is a wasteful number, since it uses less digits than its factorization.

39146016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4506 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 39146016 is about 6256.6777126523. The cubic root of 39146016 is about 339.5438404029.

The spelling of 39146016 in words is "thirty-nine million, one hundred forty-six thousand, sixteen".