3423655872 has 672 divisors, whose sum is σ = 13017804800. Its totient is φ = 853493760.

The previous prime is 3423655817. The next prime is 3423655877. The reversal of 3423655872 is 2785563243.

3423655872 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 65 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

Its product of digits (1209600) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423655877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79619883 + ... + 79619925.

Almost surely, 2^3423655872 is an apocalyptic number.

3423655872 is a gapful number since it is divisible by the number (32) 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 3423655872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508902400).

3423655872 is an abundant number, since it is smaller than the sum of its proper divisors (9594148928).

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

3423655872 is a wasteful number, since it uses less digits than its factorization.

3423655872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 99 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 3423655872 is about 58512.0147661999. The cubic root of 3423655872 is about 1507.1739126213.

The spelling of 3423655872 in words is "three billion, four hundred twenty-three million, six hundred fifty-five thousand, eight hundred seventy-two".