340166400 has 216 divisors, whose sum is σ = 1283501184. Its totient is φ = 77721600.

The previous prime is 340166363. The next prime is 340166459. The reversal of 340166400 is 4661043.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133135 + ... + 135665.

Almost surely, 2^340166400 is an apocalyptic number.

340166400 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 340166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641750592).

340166400 is an abundant number, since it is smaller than the sum of its proper divisors (943334784).

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

340166400 is a wasteful number, since it uses less digits than its factorization.

340166400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 340166400 is about 18443.6005161682. The cubic root of 340166400 is about 698.0670482906.

The spelling of 340166400 in words is "three hundred forty million, one hundred sixty-six thousand, four hundred".