340648000 has 336 divisors, whose sum is σ = 1084112640. Its totient is φ = 104832000.

The previous prime is 340647977. The next prime is 340648031. The reversal of 340648000 is 846043.

It is a super-3 number, since 3×340648000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 4311961 + ... + 4312039.

Almost surely, 2^340648000 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 340648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542056320).

340648000 is an abundant number, since it is smaller than the sum of its proper divisors (743464640).

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

340648000 is a wasteful number, since it uses less digits than its factorization.

340648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 340648000 is about 18456.6519173982. The cubic root of 340648000 is about 698.3963288612.

The spelling of 340648000 in words is "three hundred forty million, six hundred forty-eight thousand".