39429884352672 has 960 divisors, whose sum is σ = 132746645864448. Its totient is φ = 11468016806400.

The previous prime is 39429884352671. The next prime is 39429884352797. The reversal of 39429884352672 is 27625348892493.

39429884352672 is a `hidden beast` number, since 3 + 9 + 4 + 2 + 98 + 8 + 4 + 3 + 526 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 39429884352672.

It is not an unprimeable number, because it can be changed into a prime (39429884352671) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13582459573 + ... + 13582462475.

Almost surely, 2^{39429884352672} is an apocalyptic number.

39429884352672 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 39429884352672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66373322932224).

39429884352672 is an abundant number, since it is smaller than the sum of its proper divisors (93316761511776).

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

39429884352672 is a wasteful number, since it uses less digits than its factorization.

39429884352672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3077 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 39429884352672 in words is "thirty-nine trillion, four hundred twenty-nine billion, eight hundred eighty-four million, three hundred fifty-two thousand, six hundred seventy-two".