3791354937984 has 192 divisors, whose sum is σ = 11486024160000. Its totient is φ = 1197082976256.

The previous prime is 3791354937971. The next prime is 3791354937991. The reversal of 3791354937984 is 4897394531973.

It is a happy number.

3791354937984 is a `hidden beast` number, since 3 + 7 + 9 + 1 + 3 + 549 + 3 + 79 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227604984 + ... + 227621640.

It is an arithmetic number, because the mean of its divisors is an integer number (59823042500).

Almost surely, 2^{3791354937984} 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 3791354937984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743012080000).

3791354937984 is an abundant number, since it is smaller than the sum of its proper divisors (7694669222016).

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

3791354937984 is a wasteful number, since it uses less digits than its factorization.

3791354937984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27095 (or 27080 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 3791354937984 in words is "three trillion, seven hundred ninety-one billion, three hundred fifty-four million, nine hundred thirty-seven thousand, nine hundred eighty-four".