34920170880 has 256 divisors, whose sum is σ = 127478914560. Its totient is φ = 7964835840.

The previous prime is 34920170869. The next prime is 34920170899. The reversal of 34920170880 is 8807102943.

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 31 ways as a sum of consecutive naturals, for example, 6999747 + ... + 7004733.

It is an arithmetic number, because the mean of its divisors is an integer number (497964510).

Almost surely, 2^34920170880 is an apocalyptic number.

34920170880 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 34920170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63739457280).

34920170880 is an abundant number, since it is smaller than the sum of its proper divisors (92558743680).

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

34920170880 is a wasteful number, since it uses less digits than its factorization.

34920170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 34920170880 in words is "thirty-four billion, nine hundred twenty million, one hundred seventy thousand, eight hundred eighty".