34087772700 has 864 divisors, whose sum is σ = 127619331840. Its totient is φ = 7838208000.

The previous prime is 34087772659. The next prime is 34087772723. The reversal of 34087772700 is 727778043.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 337502650 + ... + 337502750.

It is an arithmetic number, because the mean of its divisors is an integer number (147707560).

Almost surely, 2^34087772700 is an apocalyptic number.

34087772700 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 34087772700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63809665920).

34087772700 is an abundant number, since it is smaller than the sum of its proper divisors (93531559140).

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

34087772700 is a wasteful number, since it uses less digits than its factorization.

34087772700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 34087772700 in words is "thirty-four billion, eighty-seven million, seven hundred seventy-two thousand, seven hundred".