3423498624 has 576 divisors, whose sum is σ = 12994057440. Its totient is φ = 842268672.

The previous prime is 3423498623. The next prime is 3423498643. The reversal of 3423498624 is 4268943243.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3423498624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423498623) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30296392 + ... + 30296504.

Almost surely, 2^3423498624 is an apocalyptic number.

3423498624 is a gapful number since it is divisible by the number (34) 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 3423498624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497028720).

3423498624 is an abundant number, since it is smaller than the sum of its proper divisors (9570558816).

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

3423498624 is a wasteful number, since it uses less digits than its factorization.

3423498624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 155 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 3423498624 is about 58510.6710267452. The cubic root of 3423498624 is about 1507.1508375109.

The spelling of 3423498624 in words is "three billion, four hundred twenty-three million, four hundred ninety-eight thousand, six hundred twenty-four".