3400740040 has 64 divisors (see below), whose sum is σ = 7814018160. Its totient is φ = 1331712000.

The previous prime is 3400740029. The next prime is 3400740043. The reversal of 3400740040 is 400470043.

It can be written as a sum of positive squares in 8 ways, for example, as 916515076 + 2484224964 = 30274^2 + 49842^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3400739993 and 3400740020.

It is not an unprimeable number, because it can be changed into a prime (3400740043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395790 + ... + 404290.

Almost surely, 2^3400740040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3400740040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907009080).

3400740040 is an abundant number, since it is smaller than the sum of its proper divisors (4413278120).

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

3400740040 is a wasteful number, since it uses less digits than its factorization.

3400740040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8722 (or 8718 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 3400740040 is about 58315.8643938337. The cubic root of 3400740040 is about 1503.8036857562.

It can be divided in two parts, 34007 and 40040, that added together give a palindrome (74047).

The spelling of 3400740040 in words is "three billion, four hundred million, seven hundred forty thousand, forty".