34326061286400 has 1320 divisors, whose sum is σ = 137302692690240. Its totient is φ = 8423580303360.

The previous prime is 34326061286357. The next prime is 34326061286483. The reversal of 34326061286400 is 468216062343.

34326061286400 is a `hidden beast` number, since 3 + 4 + 3 + 26 + 0 + 612 + 8 + 6 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9677489427 + ... + 9677492973.

It is an arithmetic number, because the mean of its divisors is an integer number (104017191432).

Almost surely, 2^{34326061286400} is an apocalyptic number.

34326061286400 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 34326061286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68651346345120).

34326061286400 is an abundant number, since it is smaller than the sum of its proper divisors (102976631403840).

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

34326061286400 is a wasteful number, since it uses less digits than its factorization.

34326061286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 34326061286400 in words is "thirty-four trillion, three hundred twenty-six billion, sixty-one million, two hundred eighty-six thousand, four hundred".