340395737472 has 512 divisors, whose sum is σ = 1168444108800. Its totient is φ = 96745881600.

The previous prime is 340395737471. The next prime is 340395737483. The reversal of 340395737472 is 274737593043.

340395737472 is a `hidden beast` number, since 34 + 0 + 39 + 573 + 7 + 4 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340395737471) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 531038272 + ... + 531038912.

It is an arithmetic number, because the mean of its divisors is an integer number (2282117400).

Almost surely, 2^340395737472 is an apocalyptic number.

340395737472 is a gapful number since it is divisible by the number (32) 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 340395737472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584222054400).

340395737472 is an abundant number, since it is smaller than the sum of its proper divisors (828048371328).

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

340395737472 is an frugal number, since it uses more digits than its factorization.

340395737472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 54.

The spelling of 340395737472 in words is "three hundred forty billion, three hundred ninety-five million, seven hundred thirty-seven thousand, four hundred seventy-two".