3572982000 has 360 divisors, whose sum is σ = 14520244752. Its totient is φ = 816480000.

The previous prime is 3572981969. The next prime is 3572982001. The reversal of 3572982000 is 2892753.

It is a happy number.

3572982000 is a `hidden beast` number, since 3 + 572 + 9 + 82 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3572982001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 879975 + ... + 884025.

Almost surely, 2^3572982000 is an apocalyptic number.

3572982000 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 3572982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7260122376).

3572982000 is an abundant number, since it is smaller than the sum of its proper divisors (10947262752).

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

3572982000 is a wasteful number, since it uses less digits than its factorization.

3572982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094 (or 4068 counting only the distinct ones).

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

The square root of 3572982000 is about 59774.4259696402. The cubic root of 3572982000 is about 1528.7751314234.

The spelling of 3572982000 in words is "three billion, five hundred seventy-two million, nine hundred eighty-two thousand".