3664765440 has 480 divisors, whose sum is σ = 14993611776. Its totient is φ = 809533440.

The previous prime is 3664765411. The next prime is 3664765457. The reversal of 3664765440 is 445674663.

It is a happy number.

3664765440 is a `hidden beast` number, since 3 + 66 + 47 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999314 + ... + 5000046.

Almost surely, 2^3664765440 is an apocalyptic number.

3664765440 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 3664765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7496805888).

3664765440 is an abundant number, since it is smaller than the sum of its proper divisors (11328846336).

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

3664765440 is a wasteful number, since it uses less digits than its factorization.

3664765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The square root of 3664765440 is about 60537.3061838731. The cubic root of 3664765440 is about 1541.7551024928.

The spelling of 3664765440 in words is "three billion, six hundred sixty-four million, seven hundred sixty-five thousand, four hundred forty".