34253514120 has 64 divisors (see below), whose sum is σ = 117440622720. Its totient is φ = 7829374464.

The previous prime is 34253514091. The next prime is 34253514143. The reversal of 34253514120 is 2141535243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20388157 + ... + 20389836.

It is an arithmetic number, because the mean of its divisors is an integer number (1835009730).

Almost surely, 2^34253514120 is an apocalyptic number.

34253514120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34253514120 is an abundant number, since it is smaller than the sum of its proper divisors (83187108600).

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

34253514120 is a wasteful number, since it uses less digits than its factorization.

34253514120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40778014 (or 40778010 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 34253514120 in words is "thirty-four billion, two hundred fifty-three million, five hundred fourteen thousand, one hundred twenty".