34166777040 has 240 divisors, whose sum is σ = 125484218496. Its totient is φ = 8262374400.

The previous prime is 34166777009. The next prime is 34166777093. The reversal of 34166777040 is 4077766143.

It is a tau number, because it is divible by the number of its divisors (240).

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, 3329197 + ... + 3339443.

Almost surely, 2^34166777040 is an apocalyptic number.

34166777040 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 34166777040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62742109248).

34166777040 is an abundant number, since it is smaller than the sum of its proper divisors (91317441456).

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

34166777040 is a wasteful number, since it uses less digits than its factorization.

34166777040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10698 (or 10689 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 34166777040 in words is "thirty-four billion, one hundred sixty-six million, seven hundred seventy-seven thousand, forty".