340236912960 has 336 divisors, whose sum is σ = 1357422508416. Its totient is φ = 76607410176.

The previous prime is 340236912949. The next prime is 340236912973. The reversal of 340236912960 is 69219632043.

340236912960 is a `hidden beast` number, since 3 + 40 + 236 + 91 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×340236912960² (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 47 ways as a sum of consecutive naturals, for example, 1224774 + ... + 1476666.

Almost surely, 2^340236912960 is an apocalyptic number.

340236912960 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 340236912960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678711254208).

340236912960 is an abundant number, since it is smaller than the sum of its proper divisors (1017185595456).

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

340236912960 is a wasteful number, since it uses less digits than its factorization.

340236912960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251990 (or 251977 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 340236912960 in words is "three hundred forty billion, two hundred thirty-six million, nine hundred twelve thousand, nine hundred sixty".