340832400 has 240 divisors, whose sum is σ = 1165746816. Its totient is φ = 84930560.

The previous prime is 340832381. The next prime is 340832407. The reversal of 340832400 is 4238043.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340832407) 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, 1462684 + ... + 1462916.

Almost surely, 2^340832400 is an apocalyptic number.

340832400 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 340832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582873408).

340832400 is an abundant number, since it is smaller than the sum of its proper divisors (824914416).

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

340832400 is a wasteful number, since it uses less digits than its factorization.

340832400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 340832400 is about 18461.6467304518. The cubic root of 340832400 is about 698.5223250529.

The spelling of 340832400 in words is "three hundred forty million, eight hundred thirty-two thousand, four hundred".