3473749540800 has 4032 divisors, whose sum is σ = 17433444188160. Its totient is φ = 658409472000.

The previous prime is 3473749540787. The next prime is 3473749540829. The reversal of 3473749540800 is 80459473743.

3473749540800 is a `hidden beast` number, since 3 + 4 + 7 + 37 + 495 + 40 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 17633246302 + ... + 17633246498.

It is an arithmetic number, because the mean of its divisors is an integer number (4323770880).

Almost surely, 2^{3473749540800} is an apocalyptic number.

3473749540800 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 3473749540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8716722094080).

3473749540800 is an abundant number, since it is smaller than the sum of its proper divisors (13959694647360).

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

3473749540800 is a wasteful number, since it uses less digits than its factorization.

3473749540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 3473749540800 in words is "three trillion, four hundred seventy-three billion, seven hundred forty-nine million, five hundred forty thousand, eight hundred".