3502850400 has 288 divisors, whose sum is σ = 14479073280. Its totient is φ = 800616960.

The previous prime is 3502850371. The next prime is 3502850419. The reversal of 3502850400 is 40582053.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139617 + ... + 162783.

It is an arithmetic number, because the mean of its divisors is an integer number (50274560).

Almost surely, 2^3502850400 is an apocalyptic number.

3502850400 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 3502850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239536640).

3502850400 is an abundant number, since it is smaller than the sum of its proper divisors (10976222880).

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

3502850400 is a wasteful number, since it uses less digits than its factorization.

3502850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23203 (or 23184 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3502850400 is about 59184.8832050888. The cubic root of 3502850400 is about 1518.7065404421.

The spelling of 3502850400 in words is "three billion, five hundred two million, eight hundred fifty thousand, four hundred".