34479039447936 has 192 divisors, whose sum is σ = 101100915508320. Its totient is φ = 11274839986176.

The previous prime is 34479039447917. The next prime is 34479039447949. The reversal of 34479039447936 is 63974493097443.

34479039447936 is a `hidden beast` number, since 3 + 4 + 4 + 7 + 90 + 3 + 9 + 447 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×34479039447936² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612790941 + ... + 612847203.

Almost surely, 2^{34479039447936} is an apocalyptic number.

34479039447936 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 34479039447936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50550457754160).

34479039447936 is an abundant number, since it is smaller than the sum of its proper divisors (66621876060384).

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

34479039447936 is a wasteful number, since it uses less digits than its factorization.

34479039447936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66373 (or 66358 counting only the distinct ones).

The product of its (nonzero) digits is 1481421312, while the sum is 72.

The spelling of 34479039447936 in words is "thirty-four trillion, four hundred seventy-nine billion, thirty-nine million, four hundred forty-seven thousand, nine hundred thirty-six".