3411764160 has 672 divisors, whose sum is σ = 13572256320. Its totient is φ = 722534400.

The previous prime is 3411764141. The next prime is 3411764173. The reversal of 3411764160 is 614671143.

3411764160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55930530 + ... + 55930590.

It is an arithmetic number, because the mean of its divisors is an integer number (20196810).

Almost surely, 2^3411764160 is an apocalyptic number.

3411764160 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 3411764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6786128160).

3411764160 is an abundant number, since it is smaller than the sum of its proper divisors (10160492160).

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

3411764160 is a wasteful number, since it uses less digits than its factorization.

3411764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3411764160 is about 58410.3086792049. The cubic root of 3411764160 is about 1505.4268844939.

The spelling of 3411764160 in words is "three billion, four hundred eleven million, seven hundred sixty-four thousand, one hundred sixty".