3955838298984 has 1280 divisors, whose sum is σ = 14284892160000. Its totient is φ = 1012780454400.

The previous prime is 3955838298967. The next prime is 3955838298989. The reversal of 3955838298984 is 4898928385593.

3955838298984 is a `hidden beast` number, since 3 + 9 + 5 + 583 + 8 + 29 + 8 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (3955838298989) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 6604070317 + ... + 6604070915.

It is an arithmetic number, because the mean of its divisors is an integer number (11160072000).

Almost surely, 2^{3955838298984} 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 3955838298984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142446080000).

3955838298984 is an abundant number, since it is smaller than the sum of its proper divisors (10329053861016).

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

3955838298984 is a wasteful number, since it uses less digits than its factorization.

3955838298984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 678 counting only the distinct ones).

The product of its digits is 5374771200, while the sum is 81.

The spelling of 3955838298984 in words is "three trillion, nine hundred fifty-five billion, eight hundred thirty-eight million, two hundred ninety-eight thousand, nine hundred eighty-four".