340048800 has 576 divisors, whose sum is σ = 1522402560. Its totient is φ = 71331840.

The previous prime is 340048799. The next prime is 340048811. The reversal of 340048800 is 8840043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1965514 + ... + 1965686.

It is an arithmetic number, because the mean of its divisors is an integer number (2643060).

Almost surely, 2^340048800 is an apocalyptic number.

340048800 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 340048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761201280).

340048800 is an abundant number, since it is smaller than the sum of its proper divisors (1182353760).

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

340048800 is a wasteful number, since it uses less digits than its factorization.

340048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 340048800 is about 18440.4121428996. The cubic root of 340048800 is about 697.9865953644.

Adding to 340048800 its reverse (8840043), we get a palindrome (348888843).

The spelling of 340048800 in words is "three hundred forty million, forty-eight thousand, eight hundred".