3486792320 has 128 divisors (see below), whose sum is σ = 9138286080. Its totient is φ = 1261670400.

The previous prime is 3486792319. The next prime is 3486792451. The reversal of 3486792320 is 232976843.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1568810 + ... + 1571030.

It is an arithmetic number, because the mean of its divisors is an integer number (71392860).

Almost surely, 2^3486792320 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 3486792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4569143040).

3486792320 is an abundant number, since it is smaller than the sum of its proper divisors (5651493760).

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

3486792320 is a wasteful number, since it uses less digits than its factorization.

3486792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 3486792320 is about 59049.0670544421. The cubic root of 3486792320 is about 1516.3822549788.

The spelling of 3486792320 in words is "three billion, four hundred eighty-six million, seven hundred ninety-two thousand, three hundred twenty".