34112786400 has 864 divisors, whose sum is σ = 154118135808. Its totient is φ = 6892646400.

The previous prime is 34112786341. The next prime is 34112786413. The reversal of 34112786400 is 468721143.

34112786400 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 2 + 7 + 8 + 640 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20511969 + ... + 20513631.

It is an arithmetic number, because the mean of its divisors is an integer number (178377472).

Almost surely, 2^34112786400 is an apocalyptic number.

34112786400 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 34112786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77059067904).

34112786400 is an abundant number, since it is smaller than the sum of its proper divisors (120005349408).

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

34112786400 is a wasteful number, since it uses less digits than its factorization.

34112786400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1744 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 34112786400 in words is "thirty-four billion, one hundred twelve million, seven hundred eighty-six thousand, four hundred".