340004050400 has 576 divisors, whose sum is σ = 1031064007680. Its totient is φ = 106917888000.

The previous prime is 340004050367. The next prime is 340004050411. The reversal of 340004050400 is 4050400043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 847890200 + ... + 847890600.

It is an arithmetic number, because the mean of its divisors is an integer number (1790041680).

Almost surely, 2^340004050400 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 340004050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515532003840).

340004050400 is an abundant number, since it is smaller than the sum of its proper divisors (691059957280).

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

340004050400 is a wasteful number, since it uses less digits than its factorization.

340004050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 340004050400 its reverse (4050400043), we get a palindrome (344054450443).

The spelling of 340004050400 in words is "three hundred forty billion, four million, fifty thousand, four hundred".