3499993728000 has 3168 divisors, whose sum is σ = 16855272854784. Its totient is φ = 681246720000.

The previous prime is 3499993727969. The next prime is 3499993728001. The reversal of 3499993728000 is 8273999943.

3499993728000 is a `hidden beast` number, since 3 + 499 + 99 + 37 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3499993728001) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 16587647895 + ... + 16587648105.

Almost surely, 2^{3499993728000} is an apocalyptic number.

3499993728000 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 3499993728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8427636427392).

3499993728000 is an abundant number, since it is smaller than the sum of its proper divisors (13355279126784).

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

3499993728000 is a wasteful number, since it uses less digits than its factorization.

3499993728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 3499993728000 in words is "three trillion, four hundred ninety-nine billion, nine hundred ninety-three million, seven hundred twenty-eight thousand".