3442707749376 has 480 divisors, whose sum is σ = 12196991664000. Its totient is φ = 931852615680.

The previous prime is 3442707749293. The next prime is 3442707749447. The reversal of 3442707749376 is 6739477072443.

It is a happy number.

3442707749376 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 7 + 0 + 77 + 493 + 76 = 666.

It is a super-2 number, since 2×3442707749376² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 47 ways as a sum of consecutive naturals, for example, 29973016 + ... + 30087656.

It is an arithmetic number, because the mean of its divisors is an integer number (25410399300).

Almost surely, 2^{3442707749376} is an apocalyptic number.

3442707749376 is a gapful number since it is divisible by the number (36) 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 3442707749376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6098495832000).

3442707749376 is an abundant number, since it is smaller than the sum of its proper divisors (8754283914624).

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

3442707749376 is a wasteful number, since it uses less digits than its factorization.

3442707749376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114705 (or 114672 counting only the distinct ones).

The product of its (nonzero) digits is 149361408, while the sum is 63.

The spelling of 3442707749376 in words is "three trillion, four hundred forty-two billion, seven hundred seven million, seven hundred forty-nine thousand, three hundred seventy-six".