34254121356 has 144 divisors (see below), whose sum is σ = 106643706624. Its totient is φ = 9027669888.

The previous prime is 34254121249. The next prime is 34254121387. The reversal of 34254121356 is 65312145243.

34254121356 is a `hidden beast` number, since 3 + 42 + 541 + 21 + 3 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34254121356.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6244591 + ... + 6250073.

It is an arithmetic number, because the mean of its divisors is an integer number (740581296).

Almost surely, 2^34254121356 is an apocalyptic number.

34254121356 is a gapful number since it is divisible by the number (36) 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 34254121356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53321853312).

34254121356 is an abundant number, since it is smaller than the sum of its proper divisors (72389585268).

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

34254121356 is a wasteful number, since it uses less digits than its factorization.

34254121356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7420 (or 7415 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 34254121356 its reverse (65312145243), we get a palindrome (99566266599).

The spelling of 34254121356 in words is "thirty-four billion, two hundred fifty-four million, one hundred twenty-one thousand, three hundred fifty-six".