340024083840 has 384 divisors, whose sum is σ = 1342838502720. Its totient is φ = 77664337920.

The previous prime is 340024083799. The next prime is 340024083851. The reversal of 340024083840 is 48380420043.

340024083840 is a `hidden beast` number, since 3 + 400 + 240 + 8 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 340024083795 and 340024083804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89548822 + ... + 89552618.

Almost surely, 2^340024083840 is an apocalyptic number.

340024083840 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 340024083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671419251360).

340024083840 is an abundant number, since it is smaller than the sum of its proper divisors (1002814418880).

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

340024083840 is a wasteful number, since it uses less digits than its factorization.

340024083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6050 (or 6035 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 340024083840 in words is "three hundred forty billion, twenty-four million, eighty-three thousand, eight hundred forty".