3603180672 has 768 divisors, whose sum is σ = 14138342400. Its totient is φ = 886837248.

The previous prime is 3603180649. The next prime is 3603180727. The reversal of 3603180672 is 2760813063.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53778783 + ... + 53778849.

It is an arithmetic number, because the mean of its divisors is an integer number (18409300).

Almost surely, 2^3603180672 is an apocalyptic number.

3603180672 is a gapful number since it is divisible by the number (32) 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 3603180672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069171200).

3603180672 is an abundant number, since it is smaller than the sum of its proper divisors (10535161728).

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

3603180672 is a wasteful number, since it uses less digits than its factorization.

3603180672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3603180672 is about 60026.4997480280. The cubic root of 3603180672 is about 1533.0700983950.

The spelling of 3603180672 in words is "three billion, six hundred three million, one hundred eighty thousand, six hundred seventy-two".