3809664000 has 264 divisors, whose sum is σ = 13732553328. Its totient is φ = 1015603200.

The previous prime is 3809663971. The next prime is 3809664091. The reversal of 3809664000 is 4669083.

3809664000 is a `hidden beast` number, since 3 + 8 + 0 + 9 + 6 + 640 + 0 + 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1150347 + ... + 1153653.

Almost surely, 2^3809664000 is an apocalyptic number.

3809664000 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 3809664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866276664).

3809664000 is an abundant number, since it is smaller than the sum of its proper divisors (9922889328).

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

3809664000 is a wasteful number, since it uses less digits than its factorization.

3809664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3809664000 is about 61722.4756470445. The cubic root of 3809664000 is about 1561.8124890014.

The spelling of 3809664000 in words is "three billion, eight hundred nine million, six hundred sixty-four thousand".