335978368 has 96 divisors (see below), whose sum is σ = 771799320. Its totient is φ = 144460800.

The previous prime is 335978333. The next prime is 335978399. The reversal of 335978368 is 863879533.

335978368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×335978368² = 225762927527886848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 507958 + ... + 508618.

Almost surely, 2^335978368 is an apocalyptic number.

335978368 is a gapful number since it is divisible by the number (38) 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 335978368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385899660).

335978368 is an abundant number, since it is smaller than the sum of its proper divisors (435820952).

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

335978368 is a wasteful number, since it uses less digits than its factorization.

335978368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 693 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The square root of 335978368 is about 18329.7127091507. The cubic root of 335978368 is about 695.1904093300.

The spelling of 335978368 in words is "three hundred thirty-five million, nine hundred seventy-eight thousand, three hundred sixty-eight".