334515829890 has 128 divisors (see below), whose sum is σ = 925596564480. Its totient is φ = 76520160000.

The previous prime is 334515829889. The next prime is 334515829939. The reversal of 334515829890 is 98928515433.

It is a happy number.

It is a super-2 number, since 2×334515829890² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 334515829890.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1467492 + ... + 1680048.

It is an arithmetic number, because the mean of its divisors is an integer number (7231223160).

Almost surely, 2^334515829890 is an apocalyptic number.

334515829890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 334515829890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462798282240).

334515829890 is an abundant number, since it is smaller than the sum of its proper divisors (591080734590).

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

334515829890 is a wasteful number, since it uses less digits than its factorization.

334515829890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212848.

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 334515829890 in words is "three hundred thirty-four billion, five hundred fifteen million, eight hundred twenty-nine thousand, eight hundred ninety".