3478131576920 has 1536 divisors, whose sum is σ = 11938897152000. Its totient is φ = 892092579840.

The previous prime is 3478131576917. The next prime is 3478131576949. The reversal of 3478131576920 is 296751318743.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8941212086 + ... + 8941212474.

It is an arithmetic number, because the mean of its divisors is an integer number (7772719500).

It is a 1-persistent number, because it is pandigital, but 2⋅3478131576920 = 6956263153840 is not.

Almost surely, 2^{3478131576920} 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 3478131576920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5969448576000).

3478131576920 is an abundant number, since it is smaller than the sum of its proper divisors (8460765575080).

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

3478131576920 is a wasteful number, since it uses less digits than its factorization.

3478131576920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 56.

The spelling of 3478131576920 in words is "three trillion, four hundred seventy-eight billion, one hundred thirty-one million, five hundred seventy-six thousand, nine hundred twenty".