3414739680000 has 1800 divisors, whose sum is σ = 14707205750160. Its totient is φ = 778567680000.

The previous prime is 3414739679959. The next prime is 3414739680059. The reversal of 3414739680000 is 869374143.

3414739680000 is a `hidden beast` number, since 3 + 414 + 73 + 96 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 2423519296 + ... + 2423520704.

Almost surely, 2^{3414739680000} is an apocalyptic number.

3414739680000 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 3414739680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7353602875080).

3414739680000 is an abundant number, since it is smaller than the sum of its proper divisors (11292466070160).

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

3414739680000 is a wasteful number, since it uses less digits than its factorization.

3414739680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 3414739680000 in words is "three trillion, four hundred fourteen billion, seven hundred thirty-nine million, six hundred eighty thousand".