3906994176000 has 1000 divisors, whose sum is σ = 15200962549344. Its totient is φ = 996566630400.

The previous prime is 3906994175969. The next prime is 3906994176047. The reversal of 3906994176000 is 6714996093.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 169869311989 + ... + 169869312011.

Almost surely, 2^{3906994176000} is an apocalyptic number.

3906994176000 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 3906994176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7600481274672).

3906994176000 is an abundant number, since it is smaller than the sum of its proper divisors (11293968373344).

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

3906994176000 is an frugal number, since it uses more digits than its factorization.

3906994176000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 3906994176000 in words is "three trillion, nine hundred six billion, nine hundred ninety-four million, one hundred seventy-six thousand".