338878977024 has 528 divisors, whose sum is σ = 1132579880960. Its totient is φ = 88137400320.

The previous prime is 338878977011. The next prime is 338878977029. The reversal of 338878977024 is 420779878833.

It is a super-2 number, since 2×338878977024² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338878977029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192653457 + ... + 192655215.

Almost surely, 2^338878977024 is an apocalyptic number.

338878977024 is a gapful number since it is divisible by the number (34) 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 338878977024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566289940480).

338878977024 is an abundant number, since it is smaller than the sum of its proper divisors (793700903936).

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

338878977024 is a wasteful number, since it uses less digits than its factorization.

338878977024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 66.

The spelling of 338878977024 in words is "three hundred thirty-eight billion, eight hundred seventy-eight million, nine hundred seventy-seven thousand, twenty-four".