338268752640 has 3456 divisors, whose sum is σ = 1709927331840. Its totient is φ = 61917364224.

The previous prime is 338268752579. The next prime is 338268752681. The reversal of 338268752640 is 46257862833.

338268752640 is a `hidden beast` number, since 3 + 38 + 2 + 6 + 87 + 526 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×338268752640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9142398702 + ... + 9142398738.

It is an arithmetic number, because the mean of its divisors is an integer number (494770640).

Almost surely, 2^338268752640 is an apocalyptic number.

338268752640 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 338268752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854963665920).

338268752640 is an abundant number, since it is smaller than the sum of its proper divisors (1371658579200).

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

338268752640 is a wasteful number, since it uses less digits than its factorization.

338268752640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 338268752640 in words is "three hundred thirty-eight billion, two hundred sixty-eight million, seven hundred fifty-two thousand, six hundred forty".