3604920480 has 288 divisors, whose sum is σ = 14387877504. Its totient is φ = 804722688.

The previous prime is 3604920469. The next prime is 3604920497. The reversal of 3604920480 is 840294063.

It is a happy number.

3604920480 is a `hidden beast` number, since 3 + 604 + 9 + 2 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 429282 + ... + 437598.

It is an arithmetic number, because the mean of its divisors is an integer number (49957908).

Almost surely, 2^3604920480 is an apocalyptic number.

3604920480 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 3604920480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193938752).

3604920480 is an abundant number, since it is smaller than the sum of its proper divisors (10782957024).

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

3604920480 is a wasteful number, since it uses less digits than its factorization.

3604920480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8388 (or 8377 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3604920480 is about 60040.9899985002. The cubic root of 3604920480 is about 1533.3168080555.

The spelling of 3604920480 in words is "three billion, six hundred four million, nine hundred twenty thousand, four hundred eighty".