336345408 has 252 divisors, whose sum is σ = 1189136052. Its totient is φ = 90316800.

The previous prime is 336345407. The next prime is 336345413. The reversal of 336345408 is 804543633.

It can be written as a sum of positive squares in 2 ways, for example, as 276623424 + 59721984 = 16632^2 + 7728^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×336345408² = 226256466965372928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336345407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 479458 + ... + 480158.

Almost surely, 2^336345408 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 336345408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594568026).

336345408 is an abundant number, since it is smaller than the sum of its proper divisors (852790644).

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

336345408 is a wasteful number, since it uses less digits than its factorization.

336345408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 336345408 is about 18339.7221352997. The cubic root of 336345408 is about 695.4434710853.

It can be divided in two parts, 336 and 345408, that added together give a square (345744 = 588²).

The spelling of 336345408 in words is "three hundred thirty-six million, three hundred forty-five thousand, four hundred eight".