3803604480 has 800 divisors, whose sum is σ = 15721431264. Its totient is φ = 870580224.

The previous prime is 3803604451. The next prime is 3803604499. The reversal of 3803604480 is 844063083.

3803604480 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 604 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45826519 + ... + 45826601.

Almost surely, 2^3803604480 is an apocalyptic number.

3803604480 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 3803604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860715632).

3803604480 is an abundant number, since it is smaller than the sum of its proper divisors (11917826784).

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

3803604480 is a wasteful number, since it uses less digits than its factorization.

3803604480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3803604480 is about 61673.3692933992. The cubic root of 3803604480 is about 1560.9839945840.

The spelling of 3803604480 in words is "three billion, eight hundred three million, six hundred four thousand, four hundred eighty".