1734313680 has 400 divisors, whose sum is σ = 6805814400. Its totient is φ = 405457920.

The previous prime is 1734313627. The next prime is 1734313681. The reversal of 1734313680 is 863134371.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1734313681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2066701 + ... + 2067539.

It is an arithmetic number, because the mean of its divisors is an integer number (17014536).

Almost surely, 2^1734313680 is an apocalyptic number.

1734313680 is a gapful number since it is divisible by the number (10) 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 1734313680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402907200).

1734313680 is an abundant number, since it is smaller than the sum of its proper divisors (5071500720).

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

1734313680 is a wasteful number, since it uses less digits than its factorization.

1734313680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1734313680 is about 41645.0919076906. The cubic root of 1734313680 is about 1201.4597236191.

The spelling of 1734313680 in words is "one billion, seven hundred thirty-four million, three hundred thirteen thousand, six hundred eighty".