34386970800 has 360 divisors, whose sum is σ = 136323369984. Its totient is φ = 7254973440.

The previous prime is 34386970771. The next prime is 34386970817. The reversal of 34386970800 is 807968343.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34386970800.

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 71 ways as a sum of consecutive naturals, for example, 1407489 + ... + 1431711.

Almost surely, 2^34386970800 is an apocalyptic number.

34386970800 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 34386970800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68161684992).

34386970800 is an abundant number, since it is smaller than the sum of its proper divisors (101936399184).

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

34386970800 is a wasteful number, since it uses less digits than its factorization.

34386970800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24277 (or 24253 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 34386970800 in words is "thirty-four billion, three hundred eighty-six million, nine hundred seventy thousand, eight hundred".