34885415040 has 128 divisors (see below), whose sum is σ = 127082632320. Its totient is φ = 7973806080.

The previous prime is 34885415027. The next prime is 34885415041. The reversal of 34885415040 is 4051458843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 34885414983 and 34885415001.

It is not an unprimeable number, because it can be changed into a prime (34885415041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1284381 + ... + 1311260.

It is an arithmetic number, because the mean of its divisors is an integer number (992833065).

Almost surely, 2^34885415040 is an apocalyptic number.

34885415040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34885415040 is an abundant number, since it is smaller than the sum of its proper divisors (92197217280).

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

34885415040 is a wasteful number, since it uses less digits than its factorization.

34885415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595670 (or 2595658 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 34885415040 in words is "thirty-four billion, eight hundred eighty-five million, four hundred fifteen thousand, forty".