3479383019520 has 1248 divisors, whose sum is σ = 13601473966080. Its totient is φ = 849930485760.

The previous prime is 3479383019471. The next prime is 3479383019543. The reversal of 3479383019520 is 259103839743.

3479383019520 is a `hidden beast` number, since 3 + 4 + 79 + 3 + 8 + 30 + 19 + 520 = 666.

It is a super-2 number, since 2×3479383019520² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2931240367 + ... + 2931241553.

It is an arithmetic number, because the mean of its divisors is an integer number (10898616960).

Almost surely, 2^{3479383019520} is an apocalyptic number.

3479383019520 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 3479383019520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800736983040).

3479383019520 is an abundant number, since it is smaller than the sum of its proper divisors (10122090946560).

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

3479383019520 is a wasteful number, since it uses less digits than its factorization.

3479383019520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 3479383019520 in words is "three trillion, four hundred seventy-nine billion, three hundred eighty-three million, nineteen thousand, five hundred twenty".