3406276440 has 96 divisors (see below), whose sum is σ = 12651893280. Its totient is φ = 778576896.

The previous prime is 3406276429. The next prime is 3406276457. The reversal of 3406276440 is 446726043.

3406276440 is a `hidden beast` number, since 3 + 4 + 0 + 6 + 2 + 7 + 644 + 0 = 666.

3406276440 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 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 = 3406276395 and 3406276404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673329 + ... + 678368.

It is an arithmetic number, because the mean of its divisors is an integer number (131790555).

Almost surely, 2^3406276440 is an apocalyptic number.

3406276440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3406276440 is an abundant number, since it is smaller than the sum of its proper divisors (9245616840).

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

3406276440 is a wasteful number, since it uses less digits than its factorization.

3406276440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351721 (or 1351714 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3406276440 is about 58363.3141622372. The cubic root of 3406276440 is about 1504.6193067344.

The spelling of 3406276440 in words is "three billion, four hundred six million, two hundred seventy-six thousand, four hundred forty".