34525426231296 has 3840 divisors, whose sum is σ = 150876562636800. Its totient is φ = 7567677849600.

The previous prime is 34525426231259. The next prime is 34525426231313. The reversal of 34525426231296 is 69213262452543.

34525426231296 is a `hidden beast` number, since 3 + 4 + 5 + 2 + 5 + 4 + 2 + 623 + 1 + 2 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 97805739856 + ... + 97805740208.

It is an arithmetic number, because the mean of its divisors is an integer number (39290771520).

Almost surely, 2^{34525426231296} is an apocalyptic number.

34525426231296 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 34525426231296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75438281318400).

34525426231296 is an abundant number, since it is smaller than the sum of its proper divisors (116351136405504).

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

34525426231296 is a wasteful number, since it uses less digits than its factorization.

34525426231296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 439 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

The spelling of 34525426231296 in words is "thirty-four trillion, five hundred twenty-five billion, four hundred twenty-six million, two hundred thirty-one thousand, two hundred ninety-six".