3474766563840 has 2880 divisors, whose sum is σ = 15276034021248. Its totient is φ = 751512453120.

The previous prime is 3474766563811. The next prime is 3474766563859. The reversal of 3474766563840 is 483656674743.

3474766563840 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 7 + 66 + 563 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 51862187487 + ... + 51862187553.

Almost surely, 2^{3474766563840} is an apocalyptic number.

3474766563840 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 3474766563840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7638017010624).

3474766563840 is an abundant number, since it is smaller than the sum of its proper divisors (11801267457408).

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

3474766563840 is a wasteful number, since it uses less digits than its factorization.

3474766563840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 3474766563840 in words is "three trillion, four hundred seventy-four billion, seven hundred sixty-six million, five hundred sixty-three thousand, eight hundred forty".