34514249796 has 192 divisors, whose sum is σ = 104409043200. Its totient is φ = 9762342912.

The previous prime is 34514249789. The next prime is 34514249879. The reversal of 34514249796 is 69794241543.

34514249796 is a `hidden beast` number, since 3 + 4 + 5 + 142 + 497 + 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 63 ways as a sum of consecutive naturals, for example, 1009510 + ... + 1043138.

It is an arithmetic number, because the mean of its divisors is an integer number (543797100).

Almost surely, 2^34514249796 is an apocalyptic number.

34514249796 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 34514249796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52204521600).

34514249796 is an abundant number, since it is smaller than the sum of its proper divisors (69894793404).

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

34514249796 is a wasteful number, since it uses less digits than its factorization.

34514249796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33715 (or 33707 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 34514249796 in words is "thirty-four billion, five hundred fourteen million, two hundred forty-nine thousand, seven hundred ninety-six".