338705640 has 384 divisors, whose sum is σ = 1389024000. Its totient is φ = 71124480.

The previous prime is 338705639. The next prime is 338705651. The reversal of 338705640 is 46507833.

It is a happy number.

338705640 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 0 + 5 + 640 = 666.

It is a super-2 number, since 2×338705640² = 229443021135619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 338705595 and 338705604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1605135 + ... + 1605345.

It is an arithmetic number, because the mean of its divisors is an integer number (3617250).

Almost surely, 2^338705640 is an apocalyptic number.

338705640 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 338705640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694512000).

338705640 is an abundant number, since it is smaller than the sum of its proper divisors (1050318360).

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

338705640 is a wasteful number, since it uses less digits than its factorization.

338705640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 338705640 is about 18403.9571831712. The cubic root of 338705640 is about 697.0663894545.

The spelling of 338705640 in words is "three hundred thirty-eight million, seven hundred five thousand, six hundred forty".