3249385308000 has 1728 divisors, whose sum is σ = 13135153135104. Its totient is φ = 788486400000.

The previous prime is 3249385307981. The next prime is 3249385308019. The reversal of 3249385308000 is 8035839423.

3249385308000 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 38 + 530 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3249385307981) and next prime (3249385308019).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21519107925 + ... + 21519108075.

It is an arithmetic number, because the mean of its divisors is an integer number (7601361768).

Almost surely, 2^{3249385308000} is an apocalyptic number.

3249385308000 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 3249385308000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567576567552).

3249385308000 is an abundant number, since it is smaller than the sum of its proper divisors (9885767827104).

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

3249385308000 is a wasteful number, since it uses less digits than its factorization.

3249385308000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3249385308000 in words is "three trillion, two hundred forty-nine billion, three hundred eighty-five million, three hundred eight thousand".