338750087040 has 448 divisors, whose sum is σ = 1223955740160. Its totient is φ = 89606393856.

The previous prime is 338750086981. The next prime is 338750087051. The reversal of 338750087040 is 40780057833.

338750087040 is a `hidden beast` number, since 3 + 38 + 7 + 500 + 8 + 70 + 40 = 666.

It is a super-2 number, since 2×338750087040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 59250262 + ... + 59255978.

Almost surely, 2^338750087040 is an apocalyptic number.

338750087040 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 338750087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611977870080).

338750087040 is an abundant number, since it is smaller than the sum of its proper divisors (885205653120).

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

338750087040 is an equidigital number, since it uses as much as digits as its factorization.

338750087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 338750087040 in words is "three hundred thirty-eight billion, seven hundred fifty million, eighty-seven thousand, forty".