334985040 has 180 divisors, whose sum is σ = 1218628476. Its totient is φ = 82427904.

The previous prime is 334985011. The next prime is 334985071. The reversal of 334985040 is 40589433.

It can be written as a sum of positive squares in 6 ways, for example, as 13571856 + 321413184 = 3684^2 + 17928^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×334985040² = 224429954047603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 334984986 and 334985004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120304 + ... + 123056.

Almost surely, 2^334985040 is an apocalyptic number.

334985040 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 334985040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609314238).

334985040 is an abundant number, since it is smaller than the sum of its proper divisors (883643436).

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

334985040 is a wasteful number, since it uses less digits than its factorization.

334985040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 334985040 is about 18302.5965371037. The cubic root of 334985040 is about 694.5046173969.

The spelling of 334985040 in words is "three hundred thirty-four million, nine hundred eighty-five thousand, forty".