34125513240 has 256 divisors, whose sum is σ = 126534481920. Its totient is φ = 7169679360.

The previous prime is 34125513199. The next prime is 34125513263. The reversal of 34125513240 is 4231552143.

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

It is a junction number, because it is equal to n+sod(n) for n = 34125513198 and 34125513207.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2625237 + ... + 2638203.

It is an arithmetic number, because the mean of its divisors is an integer number (494275320).

Almost surely, 2^34125513240 is an apocalyptic number.

34125513240 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 34125513240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63267240960).

34125513240 is an abundant number, since it is smaller than the sum of its proper divisors (92408968680).

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

34125513240 is a wasteful number, since it uses less digits than its factorization.

34125513240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13242 (or 13238 counting only the distinct ones).

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

The spelling of 34125513240 in words is "thirty-four billion, one hundred twenty-five million, five hundred thirteen thousand, two hundred forty".