34057166940 has 144 divisors (see below), whose sum is σ = 104153841792. Its totient is φ = 9007746048.

The previous prime is 34057166939. The next prime is 34057166999. The reversal of 34057166940 is 4966175043.

34057166940 is a `hidden beast` number, since 34 + 0 + 571 + 6 + 6 + 9 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13012512 + ... + 13015128.

It is an arithmetic number, because the mean of its divisors is an integer number (723290568).

Almost surely, 2^34057166940 is an apocalyptic number.

34057166940 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 34057166940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52076920896).

34057166940 is an abundant number, since it is smaller than the sum of its proper divisors (70096674852).

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

34057166940 is a wasteful number, since it uses less digits than its factorization.

34057166940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 34057166940 in words is "thirty-four billion, fifty-seven million, one hundred sixty-six thousand, nine hundred forty".