3249920434176 has 1120 divisors, whose sum is σ = 11189929766400. Its totient is φ = 931627008000.

The previous prime is 3249920434153. The next prime is 3249920434231. The reversal of 3249920434176 is 6714340299423.

3249920434176 is a `hidden beast` number, since 3 + 2 + 4 + 99 + 204 + 341 + 7 + 6 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12947890051 + ... + 12947890301.

It is an arithmetic number, because the mean of its divisors is an integer number (9991008720).

Almost surely, 2^{3249920434176} is an apocalyptic number.

3249920434176 is a gapful number since it is divisible by the number (36) 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 3249920434176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594964883200).

3249920434176 is an abundant number, since it is smaller than the sum of its proper divisors (7940009332224).

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

3249920434176 is a wasteful number, since it uses less digits than its factorization.

3249920434176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3249920434176 in words is "three trillion, two hundred forty-nine billion, nine hundred twenty million, four hundred thirty-four thousand, one hundred seventy-six".