340760640 has 336 divisors, whose sum is σ = 1254044736. Its totient is φ = 77721600.

The previous prime is 340760603. The next prime is 340760657. The reversal of 340760640 is 46067043.

It is a super-2 number, since 2×340760640² = 232235627546419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 340760598 and 340760607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5586210 + ... + 5586270.

It is an arithmetic number, because the mean of its divisors is an integer number (3732276).

Almost surely, 2^340760640 is an apocalyptic number.

340760640 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 340760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627022368).

340760640 is an abundant number, since it is smaller than the sum of its proper divisors (913284096).

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

340760640 is a wasteful number, since it uses less digits than its factorization.

340760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 340760640 is about 18459.7031395415. The cubic root of 340760640 is about 698.4732985320.

The spelling of 340760640 in words is "three hundred forty million, seven hundred sixty thousand, six hundred forty".