3235234220400 has 960 divisors, whose sum is σ = 12918981132288. Its totient is φ = 673888481280.

The previous prime is 3235234220363. The next prime is 3235234220419. The reversal of 3235234220400 is 40224325323.

It is a happy number.

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

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, 3647388757 + ... + 3647389643.

Almost surely, 2^{3235234220400} is an apocalyptic number.

3235234220400 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 3235234220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6459490566144).

3235234220400 is an abundant number, since it is smaller than the sum of its proper divisors (9683746911888).

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

3235234220400 is a wasteful number, since it uses less digits than its factorization.

3235234220400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1307 counting only the distinct ones).

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

Adding to 3235234220400 its reverse (40224325323), we get a palindrome (3275458545723).

The spelling of 3235234220400 in words is "three trillion, two hundred thirty-five billion, two hundred thirty-four million, two hundred twenty thousand, four hundred".