340383435840 has 672 divisors, whose sum is σ = 1425174476544. Its totient is φ = 75694694400.

The previous prime is 340383435809. The next prime is 340383435857. The reversal of 340383435840 is 48534383043.

340383435840 is a `hidden beast` number, since 3 + 4 + 0 + 38 + 34 + 3 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20131390 + ... + 20148290.

It is an arithmetic number, because the mean of its divisors is an integer number (2120795352).

Almost surely, 2^340383435840 is an apocalyptic number.

340383435840 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 340383435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712587238272).

340383435840 is an abundant number, since it is smaller than the sum of its proper divisors (1084791040704).

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

340383435840 is a wasteful number, since it uses less digits than its factorization.

340383435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16977 (or 16955 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 340383435840 in words is "three hundred forty billion, three hundred eighty-three million, four hundred thirty-five thousand, eight hundred forty".