3676464000 has 576 divisors, whose sum is σ = 14581279440. Its totient is φ = 887040000.

The previous prime is 3676463929. The next prime is 3676464031. The reversal of 3676464000 is 4646763.

3676464000 is a `hidden beast` number, since 3 + 6 + 7 + 6 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 17423895 + ... + 17424105.

Almost surely, 2^3676464000 is an apocalyptic number.

3676464000 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 3676464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290639720).

3676464000 is an abundant number, since it is smaller than the sum of its proper divisors (10904815440).

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

3676464000 is a wasteful number, since it uses less digits than its factorization.

3676464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3676464000 is about 60633.8519310789. The cubic root of 3676464000 is about 1543.3938755748.

The spelling of 3676464000 in words is "three billion, six hundred seventy-six million, four hundred sixty-four thousand".