3423828320640 has 4608 divisors, whose sum is σ = 17279133580800. Its totient is φ = 638092836864.

The previous prime is 3423828320581. The next prime is 3423828320669. The reversal of 3423828320640 is 460238283243.

3423828320640 is a `hidden beast` number, since 34 + 238 + 2 + 8 + 320 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 31998395467 + ... + 31998395573.

It is an arithmetic number, because the mean of its divisors is an integer number (3749811975).

Almost surely, 2^{3423828320640} is an apocalyptic number.

3423828320640 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 3423828320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8639566790400).

3423828320640 is an abundant number, since it is smaller than the sum of its proper divisors (13855305260160).

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

3423828320640 is a wasteful number, since it uses less digits than its factorization.

3423828320640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3423828320640 in words is "three trillion, four hundred twenty-three billion, eight hundred twenty-eight million, three hundred twenty thousand, six hundred forty".