3929285868480 has 840 divisors, whose sum is σ = 16420664294496. Its totient is φ = 889201152000.

The previous prime is 3929285868401. The next prime is 3929285868493. The reversal of 3929285868480 is 848685829293.

3929285868480 is a `hidden beast` number, since 3 + 9 + 2 + 9 + 2 + 85 + 8 + 68 + 480 = 666.

3929285868480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a junction number, because it is equal to n+sod(n) for n = 3929285868399 and 3929285868408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 128262765 + ... + 128293395.

Almost surely, 2^{3929285868480} is an apocalyptic number.

3929285868480 is a gapful number since it is divisible by the number (30) 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 3929285868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8210332147248).

3929285868480 is an abundant number, since it is smaller than the sum of its proper divisors (12491378426016).

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

3929285868480 is a wasteful number, since it uses less digits than its factorization.

3929285868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30775 (or 30749 counting only the distinct ones).

The product of its (nonzero) digits is 477757440, while the sum is 72.

The spelling of 3929285868480 in words is "three trillion, nine hundred twenty-nine billion, two hundred eighty-five million, eight hundred sixty-eight thousand, four hundred eighty".