34051417620 has 96 divisors (see below), whose sum is σ = 104478474240. Its totient is φ = 8217836160.

The previous prime is 34051417613. The next prime is 34051417657. The reversal of 34051417620 is 2671415043.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31501 + ... + 262859.

It is an arithmetic number, because the mean of its divisors is an integer number (1088317440).

Almost surely, 2^34051417620 is an apocalyptic number.

34051417620 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 34051417620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52239237120).

34051417620 is an abundant number, since it is smaller than the sum of its proper divisors (70427056620).

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

34051417620 is a wasteful number, since it uses less digits than its factorization.

34051417620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231605 (or 231603 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 34051417620 in words is "thirty-four billion, fifty-one million, four hundred seventeen thousand, six hundred twenty".