338387795040 has 96 divisors (see below), whose sum is σ = 1088600808960. Its totient is φ = 88316808704.

The previous prime is 338387795027. The next prime is 338387795047. The reversal of 338387795040 is 40597783833.

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

It is a super-2 number, since 2×338387795040² (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 (338387795047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7477170 + ... + 7522289.

It is an arithmetic number, because the mean of its divisors is an integer number (11339591760).

Almost surely, 2^338387795040 is an apocalyptic number.

338387795040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338387795040 is an abundant number, since it is smaller than the sum of its proper divisors (750213013920).

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

338387795040 is a wasteful number, since it uses less digits than its factorization.

338387795040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14999524 (or 14999516 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 57.

The spelling of 338387795040 in words is "three hundred thirty-eight billion, three hundred eighty-seven million, seven hundred ninety-five thousand, forty".