3440321640 has 512 divisors, whose sum is σ = 14141952000. Its totient is φ = 726340608.

The previous prime is 3440321639. The next prime is 3440321641. The reversal of 3440321640 is 461230443.

3440321640 is a `hidden beast` number, since 3 + 4 + 403 + 216 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3440321639) and next prime (3440321641).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3440321641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6176242 + ... + 6176798.

It is an arithmetic number, because the mean of its divisors is an integer number (27621000).

Almost surely, 2^3440321640 is an apocalyptic number.

3440321640 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 3440321640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070976000).

3440321640 is an abundant number, since it is smaller than the sum of its proper divisors (10701630360).

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

3440321640 is a wasteful number, since it uses less digits than its factorization.

3440321640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3440321640 is about 58654.2550886123. The cubic root of 3440321640 is about 1509.6155096083.

The spelling of 3440321640 in words is "three billion, four hundred forty million, three hundred twenty-one thousand, six hundred forty".