3249415461600 has 3456 divisors, whose sum is σ = 16085570457600. Its totient is φ = 613246464000.

The previous prime is 3249415461577. The next prime is 3249415461679. The reversal of 3249415461600 is 61645149423.

3249415461600 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 41 + 546 + 1 + 60 + 0 = 666.

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 575 ways as a sum of consecutive naturals, for example, 30368368747 + ... + 30368368853.

It is an arithmetic number, because the mean of its divisors is an integer number (4654389600).

Almost surely, 2^{3249415461600} is an apocalyptic number.

3249415461600 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 3249415461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8042785228800).

3249415461600 is an abundant number, since it is smaller than the sum of its proper divisors (12836154996000).

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

3249415461600 is a wasteful number, since it uses less digits than its factorization.

3249415461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 185 counting only the distinct ones).

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

The spelling of 3249415461600 in words is "three trillion, two hundred forty-nine billion, four hundred fifteen million, four hundred sixty-one thousand, six hundred".