334220040 has 256 divisors, whose sum is σ = 1389312000. Its totient is φ = 69431040.

The previous prime is 334220027. The next prime is 334220059. The reversal of 334220040 is 40022433.

It is a super-2 number, since 2×334220040² = 223406070275203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 334219995 and 334220022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81151 + ... + 85169.

It is an arithmetic number, because the mean of its divisors is an integer number (5427000).

Almost surely, 2^334220040 is an apocalyptic number.

334220040 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 334220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694656000).

334220040 is an abundant number, since it is smaller than the sum of its proper divisors (1055091960).

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

334220040 is a wasteful number, since it uses less digits than its factorization.

334220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 334220040 is about 18281.6859178797. The cubic root of 334220040 is about 693.9755380648.

Adding to 334220040 its reverse (40022433), we get a palindrome (374242473).

The spelling of 334220040 in words is "three hundred thirty-four million, two hundred twenty thousand, forty".