34497805020 has 288 divisors, whose sum is σ = 115137921024. Its totient is φ = 7559516160.

The previous prime is 34497805019. The next prime is 34497805079. The reversal of 34497805020 is 2050879443.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51259404 + ... + 51260076.

It is an arithmetic number, because the mean of its divisors is an integer number (399784448).

Almost surely, 2^34497805020 is an apocalyptic number.

34497805020 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 34497805020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57568960512).

34497805020 is an abundant number, since it is smaller than the sum of its proper divisors (80640116004).

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

34497805020 is a wasteful number, since it uses less digits than its factorization.

34497805020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 34497805020 in words is "thirty-four billion, four hundred ninety-seven million, eight hundred five thousand, twenty".