3402829300416 has 448 divisors, whose sum is σ = 11196329883648. Its totient is φ = 888135155712.

The previous prime is 3402829300357. The next prime is 3402829300421. The reversal of 3402829300416 is 6140039282043.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2205332541 + ... + 2205334083.

It is an arithmetic number, because the mean of its divisors is an integer number (24991807776).

Almost surely, 2^{3402829300416} 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 3402829300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598164941824).

3402829300416 is an abundant number, since it is smaller than the sum of its proper divisors (7793500583232).

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

3402829300416 is a wasteful number, since it uses less digits than its factorization.

3402829300416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 3402829300416 in words is "three trillion, four hundred two billion, eight hundred twenty-nine million, three hundred thousand, four hundred sixteen".