3487499992800 has 864 divisors, whose sum is σ = 14095502517600. Its totient is φ = 829194485760.

The previous prime is 3487499992763. The next prime is 3487499992811. The reversal of 3487499992800 is 82999947843.

3487499992800 is a `hidden beast` number, since 3 + 48 + 7 + 499 + 9 + 92 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 132546046 + ... + 132572354.

It is an arithmetic number, because the mean of its divisors is an integer number (16314239025).

Almost surely, 2^{3487499992800} is an apocalyptic number.

3487499992800 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 3487499992800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047751258800).

3487499992800 is an abundant number, since it is smaller than the sum of its proper divisors (10608002524800).

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

3487499992800 is a wasteful number, since it uses less digits than its factorization.

3487499992800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26393 (or 26355 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 3487499992800 in words is "three trillion, four hundred eighty-seven billion, four hundred ninety-nine million, nine hundred ninety-two thousand, eight hundred".