338271978720 has 96 divisors (see below), whose sum is σ = 1147522656672. Its totient is φ = 83266947072.

The previous prime is 338271978697. The next prime is 338271978731. The reversal of 338271978720 is 27879172833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×338271978720² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27098887 + ... + 27111366.

It is an arithmetic number, because the mean of its divisors is an integer number (11953361007).

Almost surely, 2^338271978720 is an apocalyptic number.

338271978720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338271978720 is an abundant number, since it is smaller than the sum of its proper divisors (809250677952).

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

338271978720 is a wasteful number, since it uses less digits than its factorization.

338271978720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54210284 (or 54210276 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 57.

The spelling of 338271978720 in words is "three hundred thirty-eight billion, two hundred seventy-one million, nine hundred seventy-eight thousand, seven hundred twenty".