34205401020 has 192 divisors, whose sum is σ = 110542795776. Its totient is φ = 7741163520.

The previous prime is 34205401007. The next prime is 34205401031. The reversal of 34205401020 is 2010450243.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 42176415 + ... + 42177225.

It is an arithmetic number, because the mean of its divisors is an integer number (575743728).

Almost surely, 2^34205401020 is an apocalyptic number.

34205401020 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 34205401020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55271397888).

34205401020 is an abundant number, since it is smaller than the sum of its proper divisors (76337394756).

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

34205401020 is a wasteful number, since it uses less digits than its factorization.

34205401020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 34205401020 its reverse (2010450243), we get a palindrome (36215851263).

The spelling of 34205401020 in words is "thirty-four billion, two hundred five million, four hundred one thousand, twenty".