334284160000 has 880 divisors, whose sum is σ = 1031357859840. Its totient is φ = 105799680000.

The previous prime is 334284159997. The next prime is 334284160003. The reversal of 334284160000 is 61482433.

It is an interprime number because it is at equal distance from previous prime (334284159997) and next prime (334284160003).

It is a super-2 number, since 2×334284160000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334284160003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4027519959 + ... + 4027520041.

It is an arithmetic number, because the mean of its divisors is an integer number (1171997568).

Almost surely, 2^334284160000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334284160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515678929920).

334284160000 is an abundant number, since it is smaller than the sum of its proper divisors (697073699840).

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

334284160000 is an equidigital number, since it uses as much as digits as its factorization.

334284160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 334284160000 in words is "three hundred thirty-four billion, two hundred eighty-four million, one hundred sixty thousand".