3442509114660 has 1536 divisors, whose sum is σ = 13985871298560. Its totient is φ = 682483968000.

The previous prime is 3442509114637. The next prime is 3442509114661. The reversal of 3442509114660 is 664119052443.

3442509114660 is a `hidden beast` number, since 3 + 4 + 42 + 509 + 1 + 1 + 46 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3442509114661) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 21119687739 + ... + 21119687901.

It is an arithmetic number, because the mean of its divisors is an integer number (9105384960).

Almost surely, 2^{3442509114660} is an apocalyptic number.

3442509114660 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 3442509114660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6992935649280).

3442509114660 is an abundant number, since it is smaller than the sum of its proper divisors (10543362183900).

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

3442509114660 is a wasteful number, since it uses less digits than its factorization.

3442509114660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3442509114660 in words is "three trillion, four hundred forty-two billion, five hundred nine million, one hundred fourteen thousand, six hundred sixty".