3642756480 has 192 divisors, whose sum is σ = 13722667920. Its totient is φ = 883077120.

The previous prime is 3642756427. The next prime is 3642756499. The reversal of 3642756480 is 846572463.

3642756480 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 7 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34614 + ... + 92106.

Almost surely, 2^3642756480 is an apocalyptic number.

3642756480 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 3642756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6861333960).

3642756480 is an abundant number, since it is smaller than the sum of its proper divisors (10079911440).

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

3642756480 is a wasteful number, since it uses less digits than its factorization.

3642756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57529 (or 57514 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 3642756480 is about 60355.2522983709. The cubic root of 3642756480 is about 1538.6625369796.

The spelling of 3642756480 in words is "three billion, six hundred forty-two million, seven hundred fifty-six thousand, four hundred eighty".