340804800 has 672 divisors, whose sum is σ = 1511808000. Its totient is φ = 74511360.

The previous prime is 340804771. The next prime is 340804811. The reversal of 340804800 is 8408043.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×340804800² = 232295823406080000, which contains 22 as substring.

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, 14817589 + ... + 14817611.

Almost surely, 2^340804800 is an apocalyptic number.

340804800 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 340804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755904000).

340804800 is an abundant number, since it is smaller than the sum of its proper divisors (1171003200).

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

340804800 is a wasteful number, since it uses less digits than its factorization.

340804800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 40 counting only the distinct ones).

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

The square root of 340804800 is about 18460.8992197022. The cubic root of 340804800 is about 698.5034695131.

The spelling of 340804800 in words is "three hundred forty million, eight hundred four thousand, eight hundred".