34880085240 has 2048 divisors, whose sum is σ = 167215104000. Its totient is φ = 5573836800.

The previous prime is 34880085217. The next prime is 34880085241. The reversal of 34880085240 is 4258008843.

It is a happy number.

34880085240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 34880085192 and 34880085201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34880085241) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1125164025 + ... + 1125164055.

It is an arithmetic number, because the mean of its divisors is an integer number (81648000).

Almost surely, 2^34880085240 is an apocalyptic number.

34880085240 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 34880085240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83607552000).

34880085240 is an abundant number, since it is smaller than the sum of its proper divisors (132335018760).

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

34880085240 is a wasteful number, since it uses less digits than its factorization.

34880085240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 34880085240 in words is "thirty-four billion, eight hundred eighty million, eighty-five thousand, two hundred forty".