34286270004 has 180 divisors, whose sum is σ = 110398816836. Its totient is φ = 9219764736.

The previous prime is 34286269957. The next prime is 34286270009. The reversal of 34286270004 is 40007268243.

34286270004 is a `hidden beast` number, since 3 + 4 + 28 + 627 + 0 + 0 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15939567504 + 18346702500 = 126252^2 + 135450^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34286270009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 206374 + ... + 333410.

Almost surely, 2^34286270004 is an apocalyptic number.

34286270004 is a gapful number since it is divisible by the number (34) 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 34286270004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55199408418).

34286270004 is an abundant number, since it is smaller than the sum of its proper divisors (76112546832).

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

34286270004 is a wasteful number, since it uses less digits than its factorization.

34286270004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127084 (or 127066 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 34286270004 in words is "thirty-four billion, two hundred eighty-six million, two hundred seventy thousand, four".