3411302880 has 96 divisors (see below), whose sum is σ = 10827831168. Its totient is φ = 902720000.

The previous prime is 3411302879. The next prime is 3411302927. The reversal of 3411302880 is 882031143.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 35755 + ... + 90005.

It is an arithmetic number, because the mean of its divisors is an integer number (112789908).

Almost surely, 2^3411302880 is an apocalyptic number.

3411302880 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 3411302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413915584).

3411302880 is an abundant number, since it is smaller than the sum of its proper divisors (7416528288).

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

3411302880 is a wasteful number, since it uses less digits than its factorization.

3411302880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54400 (or 54392 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3411302880 is about 58406.3599276654. The cubic root of 3411302880 is about 1505.3590354692.

The spelling of 3411302880 in words is "three billion, four hundred eleven million, three hundred two thousand, eight hundred eighty".