3435344640 has 864 divisors, whose sum is σ = 15267208320. Its totient is φ = 693633024.

The previous prime is 3435344623. The next prime is 3435344663. The reversal of 3435344640 is 464435343.

3435344640 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 3 + 4 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3435344595 and 3435344604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30401224 + ... + 30401336.

It is an arithmetic number, because the mean of its divisors is an integer number (17670380).

Almost surely, 2^3435344640 is an apocalyptic number.

3435344640 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 3435344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7633604160).

3435344640 is an abundant number, since it is smaller than the sum of its proper divisors (11831863680).

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

3435344640 is a wasteful number, since it uses less digits than its factorization.

3435344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

The square root of 3435344640 is about 58611.8131437682. The cubic root of 3435344640 is about 1508.8871879376.

Adding to 3435344640 its reverse (464435343), we get a palindrome (3899779983).

The spelling of 3435344640 in words is "three billion, four hundred thirty-five million, three hundred forty-four thousand, six hundred forty".