34450076700 has 432 divisors, whose sum is σ = 123723643680. Its totient is φ = 7942717440.

The previous prime is 34450076681. The next prime is 34450076711. The reversal of 34450076700 is 767005443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75382872 + ... + 75383328.

Almost surely, 2^34450076700 is an apocalyptic number.

34450076700 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 34450076700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61861821840).

34450076700 is an abundant number, since it is smaller than the sum of its proper divisors (89273566980).

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

34450076700 is a wasteful number, since it uses less digits than its factorization.

34450076700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 34450076700 in words is "thirty-four billion, four hundred fifty million, seventy-six thousand, seven hundred".