3825935294400 has 672 divisors, whose sum is σ = 14576550374400. Its totient is φ = 974334873600.

The previous prime is 3825935294381. The next prime is 3825935294411. The reversal of 3825935294400 is 44925395283.

3825935294400 is a `hidden beast` number, since 3 + 8 + 2 + 593 + 5 + 2 + 9 + 4 + 40 + 0 = 666.

It is a super-2 number, since 2×3825935294400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 704459685 + ... + 704465115.

It is an arithmetic number, because the mean of its divisors is an integer number (21691295200).

Almost surely, 2^{3825935294400} is an apocalyptic number.

3825935294400 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 3825935294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7288275187200).

3825935294400 is an abundant number, since it is smaller than the sum of its proper divisors (10750615080000).

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

3825935294400 is a wasteful number, since it uses less digits than its factorization.

3825935294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6194 (or 6173 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3825935294400 in words is "three trillion, eight hundred twenty-five billion, nine hundred thirty-five million, two hundred ninety-four thousand, four hundred".