3440641651000 has 128 divisors (see below), whose sum is σ = 8221335408000. Its totient is φ = 1347272908800.

The previous prime is 3440641650991. The next prime is 3440641651121. The reversal of 3440641651000 is 1561460443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23724709 + ... + 23869291.

It is an arithmetic number, because the mean of its divisors is an integer number (64229182875).

Almost surely, 2^{3440641651000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3440641651000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110667704000).

3440641651000 is an abundant number, since it is smaller than the sum of its proper divisors (4780693757000).

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

3440641651000 is a wasteful number, since it uses less digits than its factorization.

3440641651000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145106 (or 145092 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 3440641651000 in words is "three trillion, four hundred forty billion, six hundred forty-one million, six hundred fifty-one thousand".