338570696749536 has 768 divisors, whose sum is σ = 1077105713322240. Its totient is φ = 104354766028800.

The previous prime is 338570696749469. The next prime is 338570696749567. The reversal of 338570696749536 is 635947696075833.

338570696749536 is a `hidden beast` number, since 3 + 3 + 8 + 5 + 7 + 0 + 6 + 9 + 6 + 74 + 9 + 536 = 666.

It is a super-2 number, since 2×338570696749536² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77000383690 + ... + 77000388086.

It is an arithmetic number, because the mean of its divisors is an integer number (1402481397555).

Almost surely, 2^{338570696749536} is an apocalyptic number.

338570696749536 is a gapful number since it is divisible by the number (36) 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 338570696749536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538552856661120).

338570696749536 is an abundant number, since it is smaller than the sum of its proper divisors (738535016572704).

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

338570696749536 is a wasteful number, since it uses less digits than its factorization.

338570696749536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 18517766400, while the sum is 81.

The spelling of 338570696749536 in words is "three hundred thirty-eight trillion, five hundred seventy billion, six hundred ninety-six million, seven hundred forty-nine thousand, five hundred thirty-six".