3441326770440 has 768 divisors, whose sum is σ = 12888046080000. Its totient is φ = 790235357184.

The previous prime is 3441326770429. The next prime is 3441326770481. The reversal of 3441326770440 is 440776231443.

3441326770440 is a `hidden beast` number, since 3 + 4 + 4 + 132 + 6 + 7 + 70 + 440 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 503924946 + ... + 503931774.

It is an arithmetic number, because the mean of its divisors is an integer number (16781310000).

Almost surely, 2^{3441326770440} is an apocalyptic number.

3441326770440 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 3441326770440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444023040000).

3441326770440 is an abundant number, since it is smaller than the sum of its proper divisors (9446719309560).

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

3441326770440 is a wasteful number, since it uses less digits than its factorization.

3441326770440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7014 (or 7007 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 3441326770440 in words is "three trillion, four hundred forty-one billion, three hundred twenty-six million, seven hundred seventy thousand, four hundred forty".