340411680 has 192 divisors, whose sum is σ = 1361767680. Its totient is φ = 77801472.

The previous prime is 340411649. The next prime is 340411681. The reversal of 340411680 is 86114043.

It is a super-2 number, since 2×340411680² = 231760223760844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (340411681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24612 + ... + 35868.

It is an arithmetic number, because the mean of its divisors is an integer number (7092540).

Almost surely, 2^340411680 is an apocalyptic number.

340411680 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 340411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680883840).

340411680 is an abundant number, since it is smaller than the sum of its proper divisors (1021356000).

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

340411680 is a wasteful number, since it uses less digits than its factorization.

340411680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11288 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 340411680 is about 18450.2487788105. The cubic root of 340411680 is about 698.2347904588.

It can be divided in two parts, 34041 and 1680, that added together give a square (35721 = 189²).

The spelling of 340411680 in words is "three hundred forty million, four hundred eleven thousand, six hundred eighty".