3791955989976 has 384 divisors, whose sum is σ = 12066449472000. Its totient is φ = 971944427520.

The previous prime is 3791955989963. The next prime is 3791955990029. The reversal of 3791955989976 is 6799895591973.

It is a junction number, because it is equal to n+sod(n) for n = 3791955989892 and 3791955989901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 569444935 + ... + 569451593.

It is an arithmetic number, because the mean of its divisors is an integer number (31423045500).

Almost surely, 2^{3791955989976} 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 3791955989976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6033224736000).

3791955989976 is an abundant number, since it is smaller than the sum of its proper divisors (8274493482024).

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

3791955989976 is a wasteful number, since it uses less digits than its factorization.

3791955989976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7063 (or 7048 counting only the distinct ones).

The product of its digits is 10416243600, while the sum is 87.

The spelling of 3791955989976 in words is "three trillion, seven hundred ninety-one billion, nine hundred fifty-five million, nine hundred eighty-nine thousand, nine hundred seventy-six".