3413141064 has 192 divisors, whose sum is σ = 9875960640. Its totient is φ = 1103880960.

The previous prime is 3413141009. The next prime is 3413141071. The reversal of 3413141064 is 4601413143.

3413141064 is a `hidden beast` number, since 341 + 314 + 1 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 16175919 + ... + 16176129.

It is an arithmetic number, because the mean of its divisors is an integer number (51437295).

Almost surely, 2^3413141064 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 3413141064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937980320).

3413141064 is an abundant number, since it is smaller than the sum of its proper divisors (6462819576).

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

3413141064 is a wasteful number, since it uses less digits than its factorization.

3413141064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 426 counting only the distinct ones).

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

The square root of 3413141064 is about 58422.0939713735. The cubic root of 3413141064 is about 1505.6293749960.

It can be divided in two parts, 341314 and 1064, that added together give a triangular number (342378 = T₈₂₇).

The spelling of 3413141064 in words is "three billion, four hundred thirteen million, one hundred forty-one thousand, sixty-four".