3901900947840 has 640 divisors, whose sum is σ = 15935783054400. Its totient is φ = 891260485632.

The previous prime is 3901900947829. The next prime is 3901900947859. The reversal of 3901900947840 is 487490091093.

3901900947840 is a `hidden beast` number, since 390 + 1 + 90 + 0 + 94 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 750796122 + ... + 750801318.

Almost surely, 2^{3901900947840} is an apocalyptic number.

3901900947840 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 3901900947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967891527200).

3901900947840 is an abundant number, since it is smaller than the sum of its proper divisors (12033882106560).

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

3901900947840 is a wasteful number, since it uses less digits than its factorization.

3901900947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7304 (or 7283 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 3901900947840 in words is "three trillion, nine hundred one billion, nine hundred million, nine hundred forty-seven thousand, eight hundred forty".