34919019135 has 384 divisors, whose sum is σ = 85085952000. Its totient is φ = 13299137280.

The previous prime is 34919019131. The next prime is 34919019139. The reversal of 34919019135 is 53191091943.

34919019135 is a `hidden beast` number, since 349 + 1 + 90 + 191 + 35 = 666.

It is an interprime number because it is at equal distance from previous prime (34919019131) and next prime (34919019139).

It is not a de Polignac number, because 34919019135 - 2² = 34919019131 is a prime.

It is a super-2 number, since 2×34919019135² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34919019131) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 251215896 + ... + 251216034.

It is an arithmetic number, because the mean of its divisors is an integer number (221578000).

Almost surely, 2^34919019135 is an apocalyptic number.

34919019135 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34919019135 is an abundant number, since it is smaller than the sum of its proper divisors (50166932865).

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

34919019135 is a wasteful number, since it uses less digits than its factorization.

34919019135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The spelling of 34919019135 in words is "thirty-four billion, nine hundred nineteen million, nineteen thousand, one hundred thirty-five".