340032000 has 640 divisors, whose sum is σ = 1470763008. Its totient is φ = 67584000.

The previous prime is 340031987. The next prime is 340032001. The reversal of 340032000 is 230043.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×340032000² = 231243522048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (340032001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14783989 + ... + 14784011.

Almost surely, 2^340032000 is an apocalyptic number.

340032000 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 340032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735381504).

340032000 is an abundant number, since it is smaller than the sum of its proper divisors (1130731008).

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

340032000 is a wasteful number, since it uses less digits than its factorization.

340032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 340032000 is about 18439.9566160010. The cubic root of 340032000 is about 697.9751005751.

Adding to 340032000 its reverse (230043), we get a palindrome (340262043).

The spelling of 340032000 in words is "three hundred forty million, thirty-two thousand".