338008151872734 has 64 divisors (see below), whose sum is σ = 818266391884800. Its totient is φ = 90867408818688.

The previous prime is 338008151872723. The next prime is 338008151872739. The reversal of 338008151872734 is 437278151800833.

It is a super-2 number, since 2×338008151872734² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338008151872739) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63966429 + ... + 69048680.

It is an arithmetic number, because the mean of its divisors is an integer number (12785412373200).

Almost surely, 2^{338008151872734} is an apocalyptic number.

338008151872734 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

338008151872734 is an abundant number, since it is smaller than the sum of its proper divisors (480258240012066).

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

338008151872734 is a wasteful number, since it uses less digits than its factorization.

338008151872734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133018697.

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 338008151872734 in words is "three hundred thirty-eight trillion, eight billion, one hundred fifty-one million, eight hundred seventy-two thousand, seven hundred thirty-four".