3562272000 has 1152 divisors, whose sum is σ = 16325836800. Its totient is φ = 746496000.

The previous prime is 3562271983. The next prime is 3562272001. The reversal of 3562272000 is 2722653.

3562272000 is a `hidden beast` number, since 35 + 622 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3562272001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114911985 + ... + 114912015.

Almost surely, 2^3562272000 is an apocalyptic number.

3562272000 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 3562272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8162918400).

3562272000 is an abundant number, since it is smaller than the sum of its proper divisors (12763564800).

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

3562272000 is a wasteful number, since it uses less digits than its factorization.

3562272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3562272000 is about 59684.7719271842. The cubic root of 3562272000 is about 1527.2461034320.

Adding to 3562272000 its reverse (2722653), we get a palindrome (3564994653).

The spelling of 3562272000 in words is "three billion, five hundred sixty-two million, two hundred seventy-two thousand".