3522400000 has 432 divisors, whose sum is σ = 10921925952. Its totient is φ = 1105920000.

The previous prime is 3522399989. The next prime is 3522400027. The reversal of 3522400000 is 42253.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95199982 + ... + 95200018.

It is an arithmetic number, because the mean of its divisors is an integer number (25282236).

Almost surely, 2^3522400000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3522400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5460962976).

3522400000 is an abundant number, since it is smaller than the sum of its proper divisors (7399525952).

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

3522400000 is an frugal number, since it uses more digits than its factorization.

3522400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 3522400000 is about 59349.8104462011. The cubic root of 3522400000 is about 1521.5266287119.

Adding to 3522400000 its reverse (42253), we get a palindrome (3522442253).

It can be divided in two parts, 35 and 22400000, that multiplied together give a square (784000000 = 28000²).

The spelling of 3522400000 in words is "three billion, five hundred twenty-two million, four hundred thousand".