34264166400 has 780 divisors, whose sum is σ = 134941744872. Its totient is φ = 8599633920.

The previous prime is 34264166393. The next prime is 34264166411. The reversal of 34264166400 is 466146243.

34264166400 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 4 + 1 + 6 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2015539192 + ... + 2015539208.

Almost surely, 2^34264166400 is an apocalyptic number.

34264166400 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 34264166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67470872436).

34264166400 is an abundant number, since it is smaller than the sum of its proper divisors (100677578472).

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

34264166400 is an frugal number, since it uses more digits than its factorization.

34264166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34264166400 in words is "thirty-four billion, two hundred sixty-four million, one hundred sixty-six thousand, four hundred".