34519135770 has 160 divisors (see below), whose sum is σ = 110690350848. Its totient is φ = 7547012352.

The previous prime is 34519135769. The next prime is 34519135787. The reversal of 34519135770 is 7753191543.

34519135770 is a `hidden beast` number, since 3 + 4 + 519 + 13 + 57 + 70 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1939 + ... + 262758.

Almost surely, 2^34519135770 is an apocalyptic number.

34519135770 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34519135770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55345175424).

34519135770 is an abundant number, since it is smaller than the sum of its proper divisors (76171215078).

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

34519135770 is a wasteful number, since it uses less digits than its factorization.

34519135770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264746 (or 264737 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 34519135770 in words is "thirty-four billion, five hundred nineteen million, one hundred thirty-five thousand, seven hundred seventy".