3401842688 has 76 divisors (see below), whose sum is σ = 7172246160. Its totient is φ = 1609039872.

The previous prime is 3401842687. The next prime is 3401842699. The reversal of 3401842688 is 8862481043.

It is a tau number, because it is divible by the number of its divisors (76).

It is not an unprimeable number, because it can be changed into a prime (3401842687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4980395 + ... + 4981077.

It is an arithmetic number, because the mean of its divisors is an integer number (94371660).

Almost surely, 2^3401842688 is an apocalyptic number.

3401842688 is a gapful number since it is divisible by the number (38) 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 3401842688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3586123080).

3401842688 is an abundant number, since it is smaller than the sum of its proper divisors (3770403472).

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

3401842688 is an frugal number, since it uses more digits than its factorization.

3401842688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 3401842688 is about 58325.3177273815. The cubic root of 3401842688 is about 1503.9661981237.

The spelling of 3401842688 in words is "three billion, four hundred one million, eight hundred forty-two thousand, six hundred eighty-eight".