3909324608640 has 1024 divisors, whose sum is σ = 15723163238400. Its totient is φ = 916976332800.

The previous prime is 3909324608633. The next prime is 3909324608677. The reversal of 3909324608640 is 468064239093.

3909324608640 is a `hidden beast` number, since 3 + 9 + 0 + 9 + 3 + 24 + 608 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 712987339 + ... + 712992821.

It is an arithmetic number, because the mean of its divisors is an integer number (15354651600).

Almost surely, 2^{3909324608640} is an apocalyptic number.

3909324608640 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 3909324608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861581619200).

3909324608640 is an abundant number, since it is smaller than the sum of its proper divisors (11813838629760).

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

3909324608640 is a wasteful number, since it uses less digits than its factorization.

3909324608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5575 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3909324608640 in words is "three trillion, nine hundred nine billion, three hundred twenty-four million, six hundred eight thousand, six hundred forty".