3500864640 has 384 divisors, whose sum is σ = 14880902400. Its totient is φ = 738533376.

The previous prime is 3500864617. The next prime is 3500864641. The reversal of 3500864640 is 464680053.

3500864640 is a `hidden beast` number, since 3 + 5 + 0 + 0 + 8 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3500864595 and 3500864604.

It is not an unprimeable number, because it can be changed into a prime (3500864641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 520821 + ... + 527499.

It is an arithmetic number, because the mean of its divisors is an integer number (38752350).

Almost surely, 2^3500864640 is an apocalyptic number.

3500864640 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 3500864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440451200).

3500864640 is an abundant number, since it is smaller than the sum of its proper divisors (11380037760).

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

3500864640 is a wasteful number, since it uses less digits than its factorization.

3500864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6709 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3500864640 is about 59168.1049214862. The cubic root of 3500864640 is about 1518.4195021337.

The spelling of 3500864640 in words is "three billion, five hundred million, eight hundred sixty-four thousand, six hundred forty".