321734640 has 40 divisors (see below), whose sum is σ = 997378128. Its totient is φ = 85795840.

The previous prime is 321734629. The next prime is 321734641. The reversal of 321734640 is 46437123.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 321734598 and 321734607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321734641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 670041 + ... + 670520.

Almost surely, 2^321734640 is an apocalyptic number.

321734640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321734640 is an abundant number, since it is smaller than the sum of its proper divisors (675643488).

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

321734640 is a wasteful number, since it uses less digits than its factorization.

321734640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340577 (or 1340571 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 321734640 is about 17936.9629536329. The cubic root of 321734640 is about 685.2240657939.

The spelling of 321734640 in words is "three hundred twenty-one million, seven hundred thirty-four thousand, six hundred forty".