338354016 has 288 divisors, whose sum is σ = 1216228608. Its totient is φ = 80962560.

The previous prime is 338353999. The next prime is 338354021. The reversal of 338354016 is 610453833.

It is a super-2 number, since 2×338354016² = 228966880286656512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 672421 + ... + 672923.

It is an arithmetic number, because the mean of its divisors is an integer number (4223016).

Almost surely, 2^338354016 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 338354016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608114304).

338354016 is an abundant number, since it is smaller than the sum of its proper divisors (877874592).

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

338354016 is a wasteful number, since it uses less digits than its factorization.

338354016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 338354016 is about 18394.4017570564. The cubic root of 338354016 is about 696.8250883462.

The spelling of 338354016 in words is "three hundred thirty-eight million, three hundred fifty-four thousand, sixteen".