39142964 has 72 divisors (see below), whose sum is σ = 87716160. Its totient is φ = 15168384.

The previous prime is 39142951. The next prime is 39142981. The reversal of 39142964 is 46924193.

It is a Harshad number since it is a multiple of its sum of digits (38).

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, 85424 + ... + 85880.

It is an arithmetic number, because the mean of its divisors is an integer number (1218280).

Almost surely, 2^39142964 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 39142964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43858080).

39142964 is an abundant number, since it is smaller than the sum of its proper divisors (48573196).

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

39142964 is a wasteful number, since it uses less digits than its factorization.

39142964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its digits is 46656, while the sum is 38.

The square root of 39142964 is about 6256.4338084887. The cubic root of 39142964 is about 339.5350160503.

The spelling of 39142964 in words is "thirty-nine million, one hundred forty-two thousand, nine hundred sixty-four".