3252033440400 has 120 divisors (see below), whose sum is σ = 10420322641984. Its totient is φ = 866961216000.

The previous prime is 3252033440387. The next prime is 3252033440413. The reversal of 3252033440400 is 40443302523.

It is an interprime number because it is at equal distance from previous prime (3252033440387) and next prime (3252033440413).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3835125 + ... + 4605675.

Almost surely, 2^{3252033440400} is an apocalyptic number.

3252033440400 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 3252033440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210161320992).

3252033440400 is an abundant number, since it is smaller than the sum of its proper divisors (7168289201584).

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

3252033440400 is a wasteful number, since it uses less digits than its factorization.

3252033440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774089 (or 774078 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 3252033440400 its reverse (40443302523), we get a palindrome (3292476742923).

The spelling of 3252033440400 in words is "three trillion, two hundred fifty-two billion, thirty-three million, four hundred forty thousand, four hundred".