340675220480 has 528 divisors, whose sum is σ = 979728360336. Its totient is φ = 113293393920.

The previous prime is 340675220453. The next prime is 340675220489. The reversal of 340675220480 is 84022576043.

It can be written as a sum of positive squares in 8 ways, for example, as 46338589696 + 294336630784 = 215264^2 + 542528^2 .

It is a super-2 number, since 2×340675220480² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340675220489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1729315742 + ... + 1729315938.

It is an arithmetic number, because the mean of its divisors is an integer number (1855546137).

Almost surely, 2^340675220480 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 340675220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489864180168).

340675220480 is an abundant number, since it is smaller than the sum of its proper divisors (639053139856).

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

340675220480 is a wasteful number, since it uses less digits than its factorization.

340675220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 340675220480 in words is "three hundred forty billion, six hundred seventy-five million, two hundred twenty thousand, four hundred eighty".