3400340340 has 96 divisors (see below), whose sum is σ = 10105603200. Its totient is φ = 851337216.

The previous prime is 3400340329. The next prime is 3400340351. The reversal of 3400340340 is 430430043.

3400340340 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3400340329) and next prime (3400340351).

3400340340 is a modest number, since divided by 340340 gives 3400 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437811 + ... + 445509.

It is an arithmetic number, because the mean of its divisors is an integer number (105266700).

Almost surely, 2^3400340340 is an apocalyptic number.

3400340340 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 3400340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052801600).

3400340340 is an abundant number, since it is smaller than the sum of its proper divisors (6705262860).

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

3400340340 is a wasteful number, since it uses less digits than its factorization.

3400340340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8161 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3400340340 is about 58312.4372668473. The cubic root of 3400340340 is about 1503.7447678073.

Adding to 3400340340 its reverse (430430043), we get a palindrome (3830770383).

The spelling of 3400340340 in words is "three billion, four hundred million, three hundred forty thousand, three hundred forty".