3480779520 has 576 divisors, whose sum is σ = 13421721600. Its totient is φ = 851558400.

The previous prime is 3480779483. The next prime is 3480779527. The reversal of 3480779520 is 259770843.

3480779520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3480779527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23051445 + ... + 23051595.

It is an arithmetic number, because the mean of its divisors is an integer number (23301600).

Almost surely, 2^3480779520 is an apocalyptic number.

3480779520 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 3480779520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710860800).

3480779520 is an abundant number, since it is smaller than the sum of its proper divisors (9940942080).

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

3480779520 is a wasteful number, since it uses less digits than its factorization.

3480779520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3480779520 is about 58998.1314958364. The cubic root of 3480779520 is about 1515.5101115280.

The spelling of 3480779520 in words is "three billion, four hundred eighty million, seven hundred seventy-nine thousand, five hundred twenty".