3994729850880 has 1920 divisors, whose sum is σ = 16028351539200. Its totient is φ = 947010797568.

The previous prime is 3994729850879. The next prime is 3994729850893. The reversal of 3994729850880 is 880589274993.

3994729850880 is a `hidden beast` number, since 3 + 9 + 94 + 7 + 29 + 8 + 508 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 3994729850799 and 3994729850808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 37333923787 + ... + 37333923893.

It is an arithmetic number, because the mean of its divisors is an integer number (8348099760).

Almost surely, 2^{3994729850880} is an apocalyptic number.

3994729850880 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 3994729850880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8014175769600).

3994729850880 is an abundant number, since it is smaller than the sum of its proper divisors (12033621688320).

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

3994729850880 is a wasteful number, since it uses less digits than its factorization.

3994729850880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 3994729850880 in words is "three trillion, nine hundred ninety-four billion, seven hundred twenty-nine million, eight hundred fifty thousand, eight hundred eighty".