334676016 has 80 divisors (see below), whose sum is σ = 966604800. Its totient is φ = 110866752.

The previous prime is 334675997. The next prime is 334676021. The reversal of 334676016 is 610676433.

It is a happy number.

334676016 is a `hidden beast` number, since 3 + 3 + 46 + 7 + 601 + 6 = 666.

It is a super-2 number, since 2×334676016² = 224016071371264512, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69825 + ... + 74463.

It is an arithmetic number, because the mean of its divisors is an integer number (12082560).

Almost surely, 2^334676016 is an apocalyptic number.

334676016 is a gapful number since it is divisible by the number (36) 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 334676016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483302400).

334676016 is an abundant number, since it is smaller than the sum of its proper divisors (631928784).

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

334676016 is a wasteful number, since it uses less digits than its factorization.

334676016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4823 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 334676016 is about 18294.1525083837. The cubic root of 334676016 is about 694.2909913157.

It can be divided in two parts, 33 and 4676016, that multiplied together give a triangular number (154308528 = T₁₇₅₆₇).

The spelling of 334676016 in words is "three hundred thirty-four million, six hundred seventy-six thousand, sixteen".