334087680 has 160 divisors (see below), whose sum is σ = 1095117408. Its totient is φ = 86835200.

The previous prime is 334087657. The next prime is 334087681. The reversal of 334087680 is 86780433.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×334087680² = 223229155855564800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334087681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314350 + ... + 315410.

Almost surely, 2^334087680 is an apocalyptic number.

334087680 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 334087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547558704).

334087680 is an abundant number, since it is smaller than the sum of its proper divisors (761029728).

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

334087680 is a wasteful number, since it uses less digits than its factorization.

334087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 334087680 is about 18278.0655431586. The cubic root of 334087680 is about 693.8839150625.

The spelling of 334087680 in words is "three hundred thirty-four million, eighty-seven thousand, six hundred eighty".