340075938400 has 288 divisors, whose sum is σ = 955420099200. Its totient is φ = 116901273600.

The previous prime is 340075938383. The next prime is 340075938409. The reversal of 340075938400 is 4839570043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340075938409) 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, 87443656 + ... + 87447544.

It is an arithmetic number, because the mean of its divisors is an integer number (3317430900).

Almost surely, 2^340075938400 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 340075938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477710049600).

340075938400 is an abundant number, since it is smaller than the sum of its proper divisors (615344160800).

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

340075938400 is a wasteful number, since it uses less digits than its factorization.

340075938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 340075938400 in words is "three hundred forty billion, seventy-five million, nine hundred thirty-eight thousand, four hundred".