3431414756340 has 72 divisors (see below), whose sum is σ = 10794129396960. Its totient is φ = 915043933728.

The previous prime is 3431414756311. The next prime is 3431414756377. The reversal of 3431414756340 is 436574141343.

It is a happy number.

3431414756340 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 4 + 1 + 4 + 7 + 5 + 634 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353021350 + ... + 353031069.

Almost surely, 2^{3431414756340} is an apocalyptic number.

3431414756340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3431414756340 is an abundant number, since it is smaller than the sum of its proper divisors (7362714640620).

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

3431414756340 is a wasteful number, since it uses less digits than its factorization.

3431414756340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706052443 (or 706052429 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

Adding to 3431414756340 its reverse (436574141343), we get a palindrome (3867988897683).

The spelling of 3431414756340 in words is "three trillion, four hundred thirty-one billion, four hundred fourteen million, seven hundred fifty-six thousand, three hundred forty".