3982754600 has 96 divisors (see below), whose sum is σ = 10336883040. Its totient is φ = 1414560000.

The previous prime is 3982754591. The next prime is 3982754621. The reversal of 3982754600 is 64572893.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73550 + ... + 115650.

It is an arithmetic number, because the mean of its divisors is an integer number (107675865).

Almost surely, 2^3982754600 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 3982754600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168441520).

3982754600 is an abundant number, since it is smaller than the sum of its proper divisors (6354128440).

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

3982754600 is a wasteful number, since it uses less digits than its factorization.

3982754600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42171 (or 42162 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 44.

The square root of 3982754600 is about 63109.0690788574. The cubic root of 3982754600 is about 1585.1164851183.

The spelling of 3982754600 in words is "three billion, nine hundred eighty-two million, seven hundred fifty-four thousand, six hundred".