3411858320 has 160 divisors (see below), whose sum is σ = 8744440320. Its totient is φ = 1230428160.

The previous prime is 3411858287. The next prime is 3411858361. The reversal of 3411858320 is 238581143.

It is a happy number.

3411858320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10762802 + ... + 10763118.

It is an arithmetic number, because the mean of its divisors is an integer number (54652752).

Almost surely, 2^3411858320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411858320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4372220160).

3411858320 is an abundant number, since it is smaller than the sum of its proper divisors (5332582000).

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

3411858320 is a wasteful number, since it uses less digits than its factorization.

3411858320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 3411858320 is about 58411.1146957495. The cubic root of 3411858320 is about 1505.4407336039.

The spelling of 3411858320 in words is "three billion, four hundred eleven million, eight hundred fifty-eight thousand, three hundred twenty".