34400814336 has 432 divisors, whose sum is σ = 117035842560. Its totient is φ = 9515335680.

The previous prime is 34400814299. The next prime is 34400814353. The reversal of 34400814336 is 63341800443.

It is a happy number.

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 34400814336.

It is a congruent number.

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, 71817745 + ... + 71818223.

Almost surely, 2^34400814336 is an apocalyptic number.

34400814336 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 34400814336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58517921280).

34400814336 is an abundant number, since it is smaller than the sum of its proper divisors (82635028224).

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

34400814336 is a wasteful number, since it uses less digits than its factorization.

34400814336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34400814336 in words is "thirty-four billion, four hundred million, eight hundred fourteen thousand, three hundred thirty-six".