3400454640 has 80 divisors (see below), whose sum is σ = 11499728256. Its totient is φ = 824352000.

The previous prime is 3400454621. The next prime is 3400454641. The reversal of 3400454640 is 464540043.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 3400454598 and 3400454607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400454641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641386 + ... + 646665.

Almost surely, 2^3400454640 is an apocalyptic number.

3400454640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3400454640 is an abundant number, since it is smaller than the sum of its proper divisors (8099273616).

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

3400454640 is a wasteful number, since it uses less digits than its factorization.

3400454640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288078 (or 1288072 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 3400454640 is about 58313.4173239744. The cubic root of 3400454640 is about 1503.7616167189.

Adding to 3400454640 its reverse (464540043), we get a palindrome (3864994683).

The spelling of 3400454640 in words is "three billion, four hundred million, four hundred fifty-four thousand, six hundred forty".