34192055664 has 360 divisors, whose sum is σ = 113812996752. Its totient is φ = 9898536960.

The previous prime is 34192055633. The next prime is 34192055693. The reversal of 34192055664 is 46655029143.

34192055664 is a `hidden beast` number, since 3 + 4 + 1 + 92 + 0 + 556 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11168694 + ... + 11171754.

Almost surely, 2^34192055664 is an apocalyptic number.

34192055664 is a gapful number since it is divisible by the number (34) 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 34192055664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56906498376).

34192055664 is an abundant number, since it is smaller than the sum of its proper divisors (79620941088).

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

34192055664 is a wasteful number, since it uses less digits than its factorization.

34192055664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3096 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 34192055664 in words is "thirty-four billion, one hundred ninety-two million, fifty-five thousand, six hundred sixty-four".