34284287778400 has 576 divisors, whose sum is σ = 93000947558400. Its totient is φ = 12238339276800.

The previous prime is 34284287778371. The next prime is 34284287778401. The reversal of 34284287778400 is 487778248243.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34284287778401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77391168579 + ... + 77391169021.

It is an arithmetic number, because the mean of its divisors is an integer number (161459978400).

Almost surely, 2^{34284287778400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34284287778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46500473779200).

34284287778400 is an abundant number, since it is smaller than the sum of its proper divisors (58716659780000).

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

34284287778400 is a wasteful number, since it uses less digits than its factorization.

34284287778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 134873088, while the sum is 64.

The spelling of 34284287778400 in words is "thirty-four trillion, two hundred eighty-four billion, two hundred eighty-seven million, seven hundred seventy-eight thousand, four hundred".