340087228416 has 432 divisors, whose sum is σ = 1088766478800. Its totient is φ = 102168428544.

The previous prime is 340087228399. The next prime is 340087228417. The reversal of 340087228416 is 614822780043.

It is a happy number.

340087228416 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 8 + 7 + 228 + 416 = 666.

It is not an unprimeable number, because it can be changed into a prime (340087228417) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133944075 + ... + 133946613.

It is an arithmetic number, because the mean of its divisors is an integer number (2520292775).

Almost surely, 2^340087228416 is an apocalyptic number.

340087228416 is a gapful number since it is divisible by the number (36) 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 340087228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544383239400).

340087228416 is an abundant number, since it is smaller than the sum of its proper divisors (748679250384).

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

340087228416 is a wasteful number, since it uses less digits than its factorization.

340087228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636 (or 2600 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 340087228416 in words is "three hundred forty billion, eighty-seven million, two hundred twenty-eight thousand, four hundred sixteen".