3314787840000 has 4160 divisors, whose sum is σ = 16507771822080. Its totient is φ = 637009920000.

The previous prime is 3314787839971. The next prime is 3314787840011. The reversal of 3314787840000 is 487874133.

3314787840000 is a `hidden beast` number, since 33 + 147 + 8 + 78 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4160).

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 319 ways as a sum of consecutive naturals, for example, 106928639985 + ... + 106928640015.

Almost surely, 2^{3314787840000} is an apocalyptic number.

3314787840000 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 3314787840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253885911040).

3314787840000 is an abundant number, since it is smaller than the sum of its proper divisors (13192983982080).

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

3314787840000 is a wasteful number, since it uses less digits than its factorization.

3314787840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 3314787840000 in words is "three trillion, three hundred fourteen billion, seven hundred eighty-seven million, eight hundred forty thousand".