3901201694976 has 144 divisors (see below), whose sum is σ = 10667225793728. Its totient is φ = 1264813056000.

The previous prime is 3901201694953. The next prime is 3901201694987. The reversal of 3901201694976 is 6794961021093.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86958951 + ... + 87003801.

Almost surely, 2^{3901201694976} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3901201694976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5333612896864).

3901201694976 is an abundant number, since it is smaller than the sum of its proper divisors (6766024098752).

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

3901201694976 is a wasteful number, since it uses less digits than its factorization.

3901201694976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47968 (or 47954 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 3901201694976 in words is "three trillion, nine hundred one billion, two hundred one million, six hundred ninety-four thousand, nine hundred seventy-six".