3421177910304 has 192 divisors, whose sum is σ = 11199768652800. Its totient is φ = 888364753920.

The previous prime is 3421177910287. The next prime is 3421177910329. The reversal of 3421177910304 is 4030197711243.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 26643247 + ... + 26771345.

It is an arithmetic number, because the mean of its divisors is an integer number (58332128400).

Almost surely, 2^{3421177910304} 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 3421177910304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599884326400).

3421177910304 is an abundant number, since it is smaller than the sum of its proper divisors (7778590742496).

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

3421177910304 is a wasteful number, since it uses less digits than its factorization.

3421177910304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131743 (or 131735 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The spelling of 3421177910304 in words is "three trillion, four hundred twenty-one billion, one hundred seventy-seven million, nine hundred ten thousand, three hundred four".