340799613840 has 800 divisors, whose sum is σ = 1394219692800. Its totient is φ = 77115193344.

The previous prime is 340799613827. The next prime is 340799613841. The reversal of 340799613840 is 48316997043.

It is a happy number.

It is a super-2 number, since 2×340799613840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (340799613841) 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, 237821764 + ... + 237823196.

It is an arithmetic number, because the mean of its divisors is an integer number (1742774616).

Almost surely, 2^340799613840 is an apocalyptic number.

340799613840 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 340799613840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697109846400).

340799613840 is an abundant number, since it is smaller than the sum of its proper divisors (1053420078960).

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

340799613840 is a wasteful number, since it uses less digits than its factorization.

340799613840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 340799613840 in words is "three hundred forty billion, seven hundred ninety-nine million, six hundred thirteen thousand, eight hundred forty".