3411885120 has 224 divisors, whose sum is σ = 12556394496. Its totient is φ = 768768000.

The previous prime is 3411885097. The next prime is 3411885121. The reversal of 3411885120 is 215881143.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (3411885121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473545 + ... + 480695.

Almost surely, 2^3411885120 is an apocalyptic number.

3411885120 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 3411885120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278197248).

3411885120 is an abundant number, since it is smaller than the sum of its proper divisors (9144509376).

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

3411885120 is a wasteful number, since it uses less digits than its factorization.

3411885120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 3411885120 is about 58411.3441036927. The cubic root of 3411885120 is about 1505.4446753176. Note that the first 3 decimals are identical.

The spelling of 3411885120 in words is "three billion, four hundred eleven million, eight hundred eighty-five thousand, one hundred twenty".