3473363761920 has 1728 divisors, whose sum is σ = 13878267346944. Its totient is φ = 795943895040.

The previous prime is 3473363761909. The next prime is 3473363761937. The reversal of 3473363761920 is 291673633743.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 25353020092 + ... + 25353020228.

Almost surely, 2^{3473363761920} is an apocalyptic number.

3473363761920 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 3473363761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6939133673472).

3473363761920 is an abundant number, since it is smaller than the sum of its proper divisors (10404903585024).

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

3473363761920 is a wasteful number, since it uses less digits than its factorization.

3473363761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 54.

The spelling of 3473363761920 in words is "three trillion, four hundred seventy-three billion, three hundred sixty-three million, seven hundred sixty-one thousand, nine hundred twenty".