34490400864 has 192 divisors, whose sum is σ = 96674054400. Its totient is φ = 10736105472.

The previous prime is 34490400859. The next prime is 34490400877. The reversal of 34490400864 is 46800409443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56264622 + ... + 56265234.

It is an arithmetic number, because the mean of its divisors is an integer number (503510700).

Almost surely, 2^34490400864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34490400864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48337027200).

34490400864 is an abundant number, since it is smaller than the sum of its proper divisors (62183653536).

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

34490400864 is a wasteful number, since it uses less digits than its factorization.

34490400864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 34490400864 in words is "thirty-four billion, four hundred ninety million, four hundred thousand, eight hundred sixty-four".