3562483680 has 480 divisors, whose sum is σ = 14542488576. Its totient is φ = 804473856.

The previous prime is 3562483663. The next prime is 3562483693. The reversal of 3562483680 is 863842653.

It is a happy number.

3562483680 is a `hidden beast` number, since 3 + 562 + 4 + 8 + 3 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 9706857 + ... + 9707223.

Almost surely, 2^3562483680 is an apocalyptic number.

3562483680 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 3562483680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7271244288).

3562483680 is an abundant number, since it is smaller than the sum of its proper divisors (10980004896).

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

3562483680 is a wasteful number, since it uses less digits than its factorization.

3562483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3562483680 is about 59686.5452174944. The cubic root of 3562483680 is about 1527.2763538875.

The spelling of 3562483680 in words is "three billion, five hundred sixty-two million, four hundred eighty-three thousand, six hundred eighty".