340578641920 has 1152 divisors, whose sum is σ = 1072887379200. Its totient is φ = 102770933760.

The previous prime is 340578641917. The next prime is 340578641927. The reversal of 340578641920 is 29146875043.

It is a happy number.

It is a super-2 number, since 2×340578641920² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340578641927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9204828142 + ... + 9204828178.

It is an arithmetic number, because the mean of its divisors is an integer number (931325850).

It is a 1-persistent number, because it is pandigital, but 2⋅340578641920 = 681157283840 is not.

Almost surely, 2^340578641920 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 340578641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536443689600).

340578641920 is an abundant number, since it is smaller than the sum of its proper divisors (732308737280).

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

340578641920 is a wasteful number, since it uses less digits than its factorization.

340578641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 340578641920 in words is "three hundred forty billion, five hundred seventy-eight million, six hundred forty-one thousand, nine hundred twenty".