338702306040 has 768 divisors, whose sum is σ = 1395164160000. Its totient is φ = 70961909760.

The previous prime is 338702306017. The next prime is 338702306051. The reversal of 338702306040 is 40603207833.

338702306040 is a `hidden beast` number, since 3 + 387 + 0 + 230 + 6 + 0 + 40 = 666.

It is a super-2 number, since 2×338702306040² (a number of 24 digits) 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 = 338702305986 and 338702306004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72727392 + ... + 72732048.

It is an arithmetic number, because the mean of its divisors is an integer number (1816620000).

Almost surely, 2^338702306040 is an apocalyptic number.

338702306040 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 338702306040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697582080000).

338702306040 is an abundant number, since it is smaller than the sum of its proper divisors (1056461853960).

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

338702306040 is a wasteful number, since it uses less digits than its factorization.

338702306040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 338702306040 in words is "three hundred thirty-eight billion, seven hundred two million, three hundred six thousand, forty".