3442824000 has 1344 divisors, whose sum is σ = 16615452672. Its totient is φ = 684288000.

The previous prime is 3442823999. The next prime is 3442824019. The reversal of 3442824000 is 4282443.

It is a happy number.

3442824000 is a `hidden beast` number, since 344 + 282 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149687989 + ... + 149688011.

It is an arithmetic number, because the mean of its divisors is an integer number (12362688).

Almost surely, 2^3442824000 is an apocalyptic number.

3442824000 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 3442824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307726336).

3442824000 is an abundant number, since it is smaller than the sum of its proper divisors (13172628672).

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

3442824000 is a wasteful number, since it uses less digits than its factorization.

3442824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3442824000 is about 58675.5826558203. The cubic root of 3442824000 is about 1509.9814333346.

The spelling of 3442824000 in words is "three billion, four hundred forty-two million, eight hundred twenty-four thousand".