3248145230400 has 2352 divisors, whose sum is σ = 14527954818048. Its totient is φ = 698720256000.

The previous prime is 3248145230383. The next prime is 3248145230411. The reversal of 3248145230400 is 40325418423.

3248145230400 is a `hidden beast` number, since 3 + 2 + 4 + 8 + 14 + 5 + 230 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 10377460644 + ... + 10377460956.

Almost surely, 2^{3248145230400} is an apocalyptic number.

3248145230400 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 3248145230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7263977409024).

3248145230400 is an abundant number, since it is smaller than the sum of its proper divisors (11279809587648).

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

3248145230400 is a wasteful number, since it uses less digits than its factorization.

3248145230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 3248145230400 in words is "three trillion, two hundred forty-eight billion, one hundred forty-five million, two hundred thirty thousand, four hundred".