3640793760 has 144 divisors (see below), whose sum is σ = 12825146880. Its totient is φ = 939548160.

The previous prime is 3640793749. The next prime is 3640793803. The reversal of 3640793760 is 673970463.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 3861 + ... + 85419.

It is an arithmetic number, because the mean of its divisors is an integer number (89063520).

Almost surely, 2^3640793760 is an apocalyptic number.

3640793760 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 3640793760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412573440).

3640793760 is an abundant number, since it is smaller than the sum of its proper divisors (9184353120).

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

3640793760 is a wasteful number, since it uses less digits than its factorization.

3640793760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81611 (or 81600 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 3640793760 is about 60338.9903793559. The cubic root of 3640793760 is about 1538.3861431462.

The spelling of 3640793760 in words is "three billion, six hundred forty million, seven hundred ninety-three thousand, seven hundred sixty".