340179840 has 768 divisors, whose sum is σ = 1603929600. Its totient is φ = 64143360.

The previous prime is 340179803. The next prime is 340179841. The reversal of 340179840 is 48971043.

It is a happy number.

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 = 340179795 and 340179804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340179841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5765731 + ... + 5765789.

It is an arithmetic number, because the mean of its divisors is an integer number (2088450).

Almost surely, 2^340179840 is an apocalyptic number.

340179840 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 340179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

340179840 is an abundant number, since it is smaller than the sum of its proper divisors (1263749760).

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

340179840 is a wasteful number, since it uses less digits than its factorization.

340179840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 340179840 is about 18443.9648665898. The cubic root of 340179840 is about 698.0762417301.

The spelling of 340179840 in words is "three hundred forty million, one hundred seventy-nine thousand, eight hundred forty".