3249506304000 has 2160 divisors, whose sum is σ = 13575239129088. Its totient is φ = 746127360000.

The previous prime is 3249506303951. The next prime is 3249506304019. The reversal of 3249506304000 is 4036059423.

3249506304000 is a `hidden beast` number, since 3 + 249 + 5 + 0 + 6 + 3 + 0 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69138431977 + ... + 69138432023.

Almost surely, 2^{3249506304000} is an apocalyptic number.

3249506304000 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 3249506304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6787619564544).

3249506304000 is an abundant number, since it is smaller than the sum of its proper divisors (10325732825088).

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

3249506304000 is a wasteful number, since it uses less digits than its factorization.

3249506304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3249506304000 in words is "three trillion, two hundred forty-nine billion, five hundred six million, three hundred four thousand".