340776398160 has 640 divisors, whose sum is σ = 1369146654720. Its totient is φ = 76988620800.

The previous prime is 340776398141. The next prime is 340776398173. The reversal of 340776398160 is 61893677043.

340776398160 is a `hidden beast` number, since 3 + 407 + 76 + 3 + 9 + 8 + 160 = 666.

It is a super-2 number, since 2×340776398160² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 340776398097 and 340776398106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41599665 + ... + 41607855.

It is an arithmetic number, because the mean of its divisors is an integer number (2139291648).

Almost surely, 2^340776398160 is an apocalyptic number.

340776398160 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 340776398160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684573327360).

340776398160 is an abundant number, since it is smaller than the sum of its proper divisors (1028370256560).

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

340776398160 is a wasteful number, since it uses less digits than its factorization.

340776398160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8344 (or 8332 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 340776398160 in words is "three hundred forty billion, seven hundred seventy-six million, three hundred ninety-eight thousand, one hundred sixty".