334001589696 has 280 divisors, whose sum is σ = 1010106102720. Its totient is φ = 109103874048.

The previous prime is 334001589683. The next prime is 334001589709. The reversal of 334001589696 is 696985100433.

It is an interprime number because it is at equal distance from previous prime (334001589683) and next prime (334001589709).

It is a super-2 number, since 2×334001589696² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56103456 + ... + 56109408.

Almost surely, 2^334001589696 is an apocalyptic number.

334001589696 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 334001589696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505053051360).

334001589696 is an abundant number, since it is smaller than the sum of its proper divisors (676104513024).

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

334001589696 is a wasteful number, since it uses less digits than its factorization.

334001589696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6193 (or 6174 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 334001589696 in words is "three hundred thirty-four billion, one million, five hundred eighty-nine thousand, six hundred ninety-six".