3409554960 has 480 divisors, whose sum is σ = 13890539520. Its totient is φ = 732644352.

The previous prime is 3409554949. The next prime is 3409554977. The reversal of 3409554960 is 694559043.

3409554960 is a `hidden beast` number, since 3 + 4 + 0 + 9 + 554 + 96 + 0 = 666.

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

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, 7766421 + ... + 7766859.

It is an arithmetic number, because the mean of its divisors is an integer number (28938624).

Almost surely, 2^3409554960 is an apocalyptic number.

3409554960 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 3409554960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945269760).

3409554960 is an abundant number, since it is smaller than the sum of its proper divisors (10480984560).

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

3409554960 is a wasteful number, since it uses less digits than its factorization.

3409554960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3409554960 is about 58391.3945714606. The cubic root of 3409554960 is about 1505.1018808673.

The spelling of 3409554960 in words is "three billion, four hundred nine million, five hundred fifty-four thousand, nine hundred sixty".