39345242112 has 360 divisors, whose sum is σ = 125623959552. Its totient is φ = 11766988800.

The previous prime is 39345242107. The next prime is 39345242113. The reversal of 39345242112 is 21124254393.

39345242112 is a `hidden beast` number, since 3 + 93 + 452 + 4 + 2 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (39345242113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205995937 + ... + 205996127.

Almost surely, 2^39345242112 is an apocalyptic number.

39345242112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39345242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62811979776).

39345242112 is an abundant number, since it is smaller than the sum of its proper divisors (86278717440).

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

39345242112 is a wasteful number, since it uses less digits than its factorization.

39345242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 334 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 39345242112 in words is "thirty-nine billion, three hundred forty-five million, two hundred forty-two thousand, one hundred twelve".