338610436608 has 160 divisors (see below), whose sum is σ = 973761782400. Its totient is φ = 104239579136.

The previous prime is 338610436607. The next prime is 338610436621. The reversal of 338610436608 is 806634016833.

It is a happy number.

It is a super-2 number, since 2×338610436608² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (338610436607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859258 + ... + 1189766.

It is an arithmetic number, because the mean of its divisors is an integer number (6086011140).

Almost surely, 2^338610436608 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 338610436608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486880891200).

338610436608 is an abundant number, since it is smaller than the sum of its proper divisors (635151345792).

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

338610436608 is a wasteful number, since it uses less digits than its factorization.

338610436608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330582 (or 330566 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 338610436608 in words is "three hundred thirty-eight billion, six hundred ten million, four hundred thirty-six thousand, six hundred eight".