340713731400 has 384 divisors, whose sum is σ = 1279605600000. Its totient is φ = 73210429440.

The previous prime is 340713731389. The next prime is 340713731401. The reversal of 340713731400 is 4137317043.

It is a super-3 number, since 3×340713731400³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (340713731401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74896326 + ... + 74900874.

It is an arithmetic number, because the mean of its divisors is an integer number (3332306250).

Almost surely, 2^340713731400 is an apocalyptic number.

340713731400 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 340713731400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639802800000).

340713731400 is an abundant number, since it is smaller than the sum of its proper divisors (938891868600).

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

340713731400 is a wasteful number, since it uses less digits than its factorization.

340713731400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5641 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The spelling of 340713731400 in words is "three hundred forty billion, seven hundred thirteen million, seven hundred thirty-one thousand, four hundred".