3402101222304 has 384 divisors, whose sum is σ = 10039991980032. Its totient is φ = 1003116871680.

The previous prime is 3402101222291. The next prime is 3402101222341. The reversal of 3402101222304 is 4032221012043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 63 ways as a sum of consecutive naturals, for example, 844820739 + ... + 844824765.

It is an arithmetic number, because the mean of its divisors is an integer number (26145812448).

Almost surely, 2^{3402101222304} is an apocalyptic number.

3402101222304 is a gapful number since it is divisible by the number (34) 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 3402101222304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5019995990016).

3402101222304 is an abundant number, since it is smaller than the sum of its proper divisors (6637890757728).

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

3402101222304 is a wasteful number, since it uses less digits than its factorization.

3402101222304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4468 (or 4460 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3402101222304 its reverse (4032221012043), we get a palindrome (7434322234347).

The spelling of 3402101222304 in words is "three trillion, four hundred two billion, one hundred one million, two hundred twenty-two thousand, three hundred four".