340798004064 has 576 divisors, whose sum is σ = 1187870261760. Its totient is φ = 90525081600.

The previous prime is 340798004059. The next prime is 340798004101. The reversal of 340798004064 is 460400897043.

It is a super-2 number, since 2×340798004064² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 530012127 + ... + 530012769.

It is an arithmetic number, because the mean of its divisors is an integer number (2062274760).

Almost surely, 2^340798004064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340798004064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593935130880).

340798004064 is an abundant number, since it is smaller than the sum of its proper divisors (847072257696).

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

340798004064 is a wasteful number, since it uses less digits than its factorization.

340798004064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 340798004064 in words is "three hundred forty billion, seven hundred ninety-eight million, four thousand, sixty-four".