34211045004 has 192 divisors, whose sum is σ = 91245772800. Its totient is φ = 9911227392.

The previous prime is 34211044993. The next prime is 34211045017. The reversal of 34211045004 is 40054011243.

It is a super-4 number, since 4×34211045004⁴ (a number of 43 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26747637 + ... + 26748915.

It is an arithmetic number, because the mean of its divisors is an integer number (475238400).

Almost surely, 2^34211045004 is an apocalyptic number.

34211045004 is a gapful number since it is divisible by the number (34) 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 34211045004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45622886400).

34211045004 is an abundant number, since it is smaller than the sum of its proper divisors (57034727796).

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

34211045004 is a wasteful number, since it uses less digits than its factorization.

34211045004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1492 (or 1490 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 34211045004 its reverse (40054011243), we get a palindrome (74265056247).

The spelling of 34211045004 in words is "thirty-four billion, two hundred eleven million, forty-five thousand, four".