334006400 has 384 divisors, whose sum is σ = 1076597760. Its totient is φ = 99532800.

The previous prime is 334006381. The next prime is 334006403. The reversal of 334006400 is 4600433.

It is a happy number.

It is a super-2 number, since 2×334006400² = 223120550481920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (334006403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9027182 + ... + 9027218.

It is an arithmetic number, because the mean of its divisors is an integer number (2803640).

Almost surely, 2^334006400 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 334006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538298880).

334006400 is an abundant number, since it is smaller than the sum of its proper divisors (742591360).

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

334006400 is a wasteful number, since it uses less digits than its factorization.

334006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 334006400 is about 18275.8419778679. The cubic root of 334006400 is about 693.8276389586.

Adding to 334006400 its reverse (4600433), we get a palindrome (338606833).

The spelling of 334006400 in words is "three hundred thirty-four million, six thousand, four hundred".