34364191680 has 1120 divisors, whose sum is σ = 159484381056. Its totient is φ = 6816006144.

The previous prime is 34364191643. The next prime is 34364191681. The reversal of 34364191680 is 8619146343.

34364191680 is a `hidden beast` number, since 343 + 64 + 191 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34364191681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 40097812 + ... + 40098668.

Almost surely, 2^34364191680 is an apocalyptic number.

34364191680 is a gapful number since it is divisible by the number (30) 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 34364191680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79742190528).

34364191680 is an abundant number, since it is smaller than the sum of its proper divisors (125120189376).

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

34364191680 is a wasteful number, since it uses less digits than its factorization.

34364191680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 923 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 34364191680 in words is "thirty-four billion, three hundred sixty-four million, one hundred ninety-one thousand, six hundred eighty".