340006430400 has 336 divisors, whose sum is σ = 1372930293504. Its totient is φ = 71737528320.

The previous prime is 340006430381. The next prime is 340006430431. The reversal of 340006430400 is 4034600043.

340006430400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47599 + ... + 826001.

It is an arithmetic number, because the mean of its divisors is an integer number (4086102064).

Almost surely, 2^340006430400 is an apocalyptic number.

340006430400 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 340006430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686465146752).

340006430400 is an abundant number, since it is smaller than the sum of its proper divisors (1032923863104).

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

340006430400 is a wasteful number, since it uses less digits than its factorization.

340006430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778448 (or 778433 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The spelling of 340006430400 in words is "three hundred forty billion, six million, four hundred thirty thousand, four hundred".