3442414997760 has 144 divisors (see below), whose sum is σ = 11373324056640. Its totient is φ = 886322913280.

The previous prime is 3442414997729. The next prime is 3442414997779. The reversal of 3442414997760 is 677994142443.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3442414997694 and 3442414997703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15344886 + ... + 15567605.

It is an arithmetic number, because the mean of its divisors is an integer number (78981417060).

Almost surely, 2^{3442414997760} is an apocalyptic number.

3442414997760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3442414997760 is an abundant number, since it is smaller than the sum of its proper divisors (7930909058880).

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

3442414997760 is a wasteful number, since it uses less digits than its factorization.

3442414997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30912544 (or 30912530 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 3442414997760 in words is "three trillion, four hundred forty-two billion, four hundred fourteen million, nine hundred ninety-seven thousand, seven hundred sixty".