3982955004 has 360 divisors, whose sum is σ = 12896286480. Its totient is φ = 1066867200.

The previous prime is 3982954999. The next prime is 3982955017. The reversal of 3982955004 is 4005592893.

3982955004 is a `hidden beast` number, since 3 + 98 + 2 + 9 + 550 + 0 + 4 = 666.

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 119 ways as a sum of consecutive naturals, for example, 18876459 + ... + 18876669.

It is an arithmetic number, because the mean of its divisors is an integer number (35823018).

Almost surely, 2^3982955004 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 3982955004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448143240).

3982955004 is an abundant number, since it is smaller than the sum of its proper divisors (8913331476).

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

3982955004 is a wasteful number, since it uses less digits than its factorization.

3982955004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3982955004 is about 63110.6568180050. The cubic root of 3982955004 is about 1585.1430712702.

The spelling of 3982955004 in words is "three billion, nine hundred eighty-two million, nine hundred fifty-five thousand, four".