3411233280 has 480 divisors, whose sum is σ = 14549318784. Its totient is φ = 719290368.

The previous prime is 3411233261. The next prime is 3411233291. The reversal of 3411233280 is 823321143.

3411233280 is a `hidden beast` number, since 341 + 12 + 33 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2095827 + ... + 2097453.

Almost surely, 2^3411233280 is an apocalyptic number.

3411233280 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 3411233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7274659392).

3411233280 is an abundant number, since it is smaller than the sum of its proper divisors (11138085504).

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

3411233280 is a wasteful number, since it uses less digits than its factorization.

3411233280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3411233280 is about 58405.7640991024. The cubic root of 3411233280 is about 1505.3487975723.

The spelling of 3411233280 in words is "three billion, four hundred eleven million, two hundred thirty-three thousand, two hundred eighty".