3455760000 has 960 divisors, whose sum is σ = 15256866240. Its totient is φ = 675840000.

The previous prime is 3455759987. The next prime is 3455760001. The reversal of 3455760000 is 675543.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3455760000.

It is not an unprimeable number, because it can be changed into a prime (3455760001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 203279992 + ... + 203280008.

It is an arithmetic number, because the mean of its divisors is an integer number (15892569).

Almost surely, 2^3455760000 is an apocalyptic number.

3455760000 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 3455760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628433120).

3455760000 is an abundant number, since it is smaller than the sum of its proper divisors (11801106240).

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

3455760000 is a wasteful number, since it uses less digits than its factorization.

3455760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 3455760000 is about 58785.7125499045. The cubic root of 3455760000 is about 1511.8702612567.

The spelling of 3455760000 in words is "three billion, four hundred fifty-five million, seven hundred sixty thousand".