340065600 has 336 divisors, whose sum is σ = 1322832000. Its totient is φ = 74833920.

The previous prime is 340065599. The next prime is 340065613. The reversal of 340065600 is 6560043.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×340065600² = 231289224606720000, which contains 22 as substring.

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

It is a congruent number.

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, 974226 + ... + 974574.

It is an arithmetic number, because the mean of its divisors is an integer number (3937000).

Almost surely, 2^340065600 is an apocalyptic number.

340065600 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 340065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661416000).

340065600 is an abundant number, since it is smaller than the sum of its proper divisors (982766400).

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

340065600 is a wasteful number, since it uses less digits than its factorization.

340065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 340065600 is about 18440.8676585458. The cubic root of 340065600 is about 697.9980897751.

The spelling of 340065600 in words is "three hundred forty million, sixty-five thousand, six hundred".