3983464541952 has 1440 divisors, whose sum is σ = 14496336318464. Its totient is φ = 1064204697600.

The previous prime is 3983464541939. The next prime is 3983464541977. The reversal of 3983464541952 is 2591454643893.

It is a happy number.

3983464541952 is a `hidden beast` number, since 3 + 9 + 8 + 34 + 6 + 4 + 541 + 9 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3983464541952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22008091302 + ... + 22008091482.

Almost surely, 2^{3983464541952} is an apocalyptic number.

3983464541952 is a gapful number since it is divisible by the number (32) 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 3983464541952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7248168159232).

3983464541952 is an abundant number, since it is smaller than the sum of its proper divisors (10512871776512).

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

3983464541952 is a wasteful number, since it uses less digits than its factorization.

3983464541952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 364 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 3983464541952 in words is "three trillion, nine hundred eighty-three billion, four hundred sixty-four million, five hundred forty-one thousand, nine hundred fifty-two".