340816693392 has 320 divisors, whose sum is σ = 1169666088960. Its totient is φ = 92900307456.

The previous prime is 340816693387. The next prime is 340816693403. The reversal of 340816693392 is 293396618043.

340816693392 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 166 + 93 + 392 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27605973 + ... + 27618315.

It is an arithmetic number, because the mean of its divisors is an integer number (3655206528).

Almost surely, 2^340816693392 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 340816693392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584833044480).

340816693392 is an abundant number, since it is smaller than the sum of its proper divisors (828849395568).

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

340816693392 is a wasteful number, since it uses less digits than its factorization.

340816693392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12787 (or 12775 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 340816693392 in words is "three hundred forty billion, eight hundred sixteen million, six hundred ninety-three thousand, three hundred ninety-two".