3957282000 has 960 divisors, whose sum is σ = 17688153600. Its totient is φ = 827366400.

The previous prime is 3957281987. The next prime is 3957282023. The reversal of 3957282000 is 2827593.

It is a happy number.

3957282000 is a `hidden beast` number, since 3 + 9 + 572 + 82 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 136457986 + ... + 136458014.

It is an arithmetic number, because the mean of its divisors is an integer number (18425160).

Almost surely, 2^3957282000 is an apocalyptic number.

3957282000 is a gapful number since it is divisible by the number (30) 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 3957282000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844076800).

3957282000 is an abundant number, since it is smaller than the sum of its proper divisors (13730871600).

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

3957282000 is a wasteful number, since it uses less digits than its factorization.

3957282000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3957282000 is about 62906.9312556256. The cubic root of 3957282000 is about 1581.7299323807.

The spelling of 3957282000 in words is "three billion, nine hundred fifty-seven million, two hundred eighty-two thousand".