3302425250400 has 144 divisors (see below), whose sum is σ = 10763525496528. Its totient is φ = 879489024000.

The previous prime is 3302425250393. The next prime is 3302425250401. The reversal of 3302425250400 is 40525242033.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3302425250401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 922320 + ... + 2730480.

It is an arithmetic number, because the mean of its divisors is an integer number (74746704837).

Almost surely, 2^{3302425250400} is an apocalyptic number.

3302425250400 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 3302425250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5381762748264).

3302425250400 is an abundant number, since it is smaller than the sum of its proper divisors (7461100246128).

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

3302425250400 is a wasteful number, since it uses less digits than its factorization.

3302425250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808945 (or 1808932 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 3302425250400 in words is "three trillion, three hundred two billion, four hundred twenty-five million, two hundred fifty thousand, four hundred".