3478525046920 has 512 divisors, whose sum is σ = 10237943808000. Its totient is φ = 1054064793600.

The previous prime is 3478525046911. The next prime is 3478525046963. The reversal of 3478525046920 is 296405258743.

It is a happy number.

3478525046920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 782216137 + ... + 782220583.

It is an arithmetic number, because the mean of its divisors is an integer number (19995984000).

Almost surely, 2^{3478525046920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3478525046920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118971904000).

3478525046920 is an abundant number, since it is smaller than the sum of its proper divisors (6759418761080).

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

3478525046920 is a wasteful number, since it uses less digits than its factorization.

3478525046920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4616 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 3478525046920 in words is "three trillion, four hundred seventy-eight billion, five hundred twenty-five million, forty-six thousand, nine hundred twenty".