3411461664 has 96 divisors (see below), whose sum is σ = 10715523840. Its totient is φ = 1049677056.

The previous prime is 3411461659. The next prime is 3411461699. The reversal of 3411461664 is 4661641143.

3411461664 is a `hidden beast` number, since 34 + 1 + 1 + 4 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140632 + ... + 163095.

It is an arithmetic number, because the mean of its divisors is an integer number (111620040).

Almost surely, 2^3411461664 is an apocalyptic number.

It is an amenable number.

3411461664 is an abundant number, since it is smaller than the sum of its proper divisors (7304062176).

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

3411461664 is a wasteful number, since it uses less digits than its factorization.

3411461664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303759 (or 303745 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 3411461664 is about 58407.7192158708. The cubic root of 3411461664 is about 1505.3823914741.

The spelling of 3411461664 in words is "three billion, four hundred eleven million, four hundred sixty-one thousand, six hundred sixty-four".