336834207551340 has 192 divisors, whose sum is σ = 1066204823523840. Its totient is φ = 88258959072000.

The previous prime is 336834207551339. The next prime is 336834207551389. The reversal of 336834207551340 is 43155702438633.

336834207551340 is a `hidden beast` number, since 3 + 3 + 6 + 8 + 3 + 42 + 0 + 7 + 551 + 3 + 40 = 666.

It is a super-2 number, since 2×336834207551340² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26719195 + ... + 37250285.

It is an arithmetic number, because the mean of its divisors is an integer number (5553150122520).

Almost surely, 2^{336834207551340} is an apocalyptic number.

336834207551340 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 336834207551340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533102411761920).

336834207551340 is an abundant number, since it is smaller than the sum of its proper divisors (729370615972500).

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

336834207551340 is a wasteful number, since it uses less digits than its factorization.

336834207551340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10532141 (or 10532133 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

Adding to 336834207551340 its reverse (43155702438633), we get a palindrome (379989909989973).

The spelling of 336834207551340 in words is "three hundred thirty-six trillion, eight hundred thirty-four billion, two hundred seven million, five hundred fifty-one thousand, three hundred forty".