3604414464 has 340 divisors, whose sum is σ = 12433919344. Its totient is φ = 1019215872.

The previous prime is 3604414447. The next prime is 3604414481. The reversal of 3604414464 is 4644144063.

3604414464 is a `hidden beast` number, since 3 + 604 + 4 + 1 + 4 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3604414447) and next prime (3604414481).

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37158864 + ... + 37158960.

Almost surely, 2^3604414464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3604414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6216959672).

3604414464 is an abundant number, since it is smaller than the sum of its proper divisors (8829504880).

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

3604414464 is an frugal number, since it uses more digits than its factorization.

3604414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3604414464 is about 60036.7759294251. The cubic root of 3604414464 is about 1533.2450617531.

The spelling of 3604414464 in words is "three billion, six hundred four million, four hundred fourteen thousand, four hundred sixty-four".