3249467096400 has 960 divisors, whose sum is σ = 13515599946240. Its totient is φ = 726158131200.

The previous prime is 3249467096383. The next prime is 3249467096401. The reversal of 3249467096400 is 46907649423.

3249467096400 is a `hidden beast` number, since 3 + 2 + 4 + 94 + 67 + 0 + 96 + 400 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3249467096401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 797804764 + ... + 797808836.

It is an arithmetic number, because the mean of its divisors is an integer number (14078749944).

Almost surely, 2^{3249467096400} is an apocalyptic number.

3249467096400 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 3249467096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757799973120).

3249467096400 is an abundant number, since it is smaller than the sum of its proper divisors (10266132849840).

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

3249467096400 is a wasteful number, since it uses less digits than its factorization.

3249467096400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4324 counting only the distinct ones).

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

The spelling of 3249467096400 in words is "three trillion, two hundred forty-nine billion, four hundred sixty-seven million, ninety-six thousand, four hundred".