334104138001620 has 576 divisors, whose sum is σ = 1179434063388672. Its totient is φ = 74973330432000.

The previous prime is 334104138001567. The next prime is 334104138001637. The reversal of 334104138001620 is 26100831401433.

334104138001620 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 0 + 413 + 80 + 0 + 162 + 0 = 666.

It is a super-2 number, since 2×334104138001620² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149353659142 + ... + 149353661378.

It is an arithmetic number, because the mean of its divisors is an integer number (2047628582272).

Almost surely, 2^{334104138001620} is an apocalyptic number.

334104138001620 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 334104138001620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589717031694336).

334104138001620 is an abundant number, since it is smaller than the sum of its proper divisors (845329925387052).

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

334104138001620 is a wasteful number, since it uses less digits than its factorization.

334104138001620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5107 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 334104138001620 in words is "three hundred thirty-four trillion, one hundred four billion, one hundred thirty-eight million, one thousand, six hundred twenty".