3438338220960 has 288 divisors, whose sum is σ = 11224189642176. Its totient is φ = 884714803200.

The previous prime is 3438338220953. The next prime is 3438338221001. The reversal of 3438338220960 is 690228338343.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160053420 + ... + 160074900.

It is an arithmetic number, because the mean of its divisors is an integer number (38972880702).

Almost surely, 2^{3438338220960} is an apocalyptic number.

3438338220960 is a gapful number since it is divisible by the number (30) 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 3438338220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612094821088).

3438338220960 is an abundant number, since it is smaller than the sum of its proper divisors (7785851421216).

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

3438338220960 is a wasteful number, since it uses less digits than its factorization.

3438338220960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21908 (or 21869 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 3438338220960 in words is "three trillion, four hundred thirty-eight billion, three hundred thirty-eight million, two hundred twenty thousand, nine hundred sixty".