3423651840 has 768 divisors, whose sum is σ = 14624064000. Its totient is φ = 743178240.

The previous prime is 3423651809. The next prime is 3423651859. The reversal of 3423651840 is 481563243.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a junction number, because it is equal to n+sod(n) for n = 3423651795 and 3423651804.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56125410 + ... + 56125470.

It is an arithmetic number, because the mean of its divisors is an integer number (19041750).

Almost surely, 2^3423651840 is an apocalyptic number.

3423651840 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 3423651840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032000).

3423651840 is an abundant number, since it is smaller than the sum of its proper divisors (11200412160).

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

3423651840 is a wasteful number, since it uses less digits than its factorization.

3423651840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3423651840 is about 58511.9803117276. The cubic root of 3423651840 is about 1507.1733209607.

The spelling of 3423651840 in words is "three billion, four hundred twenty-three million, six hundred fifty-one thousand, eight hundred forty".