3463004664 has 192 divisors, whose sum is σ = 11187671040. Its totient is φ = 983041920.

The previous prime is 3463004659. The next prime is 3463004707. The reversal of 3463004664 is 4664003643.

3463004664 is a `hidden beast` number, since 346 + 300 + 4 + 6 + 6 + 4 = 666.

3463004664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3463004664³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 2353449 + ... + 2354919.

It is an arithmetic number, because the mean of its divisors is an integer number (58269120).

Almost surely, 2^3463004664 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 3463004664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593835520).

3463004664 is an abundant number, since it is smaller than the sum of its proper divisors (7724666376).

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

3463004664 is a wasteful number, since it uses less digits than its factorization.

3463004664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1656 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The square root of 3463004664 is about 58847.2995472180. The cubic root of 3463004664 is about 1512.9260200475.

The spelling of 3463004664 in words is "three billion, four hundred sixty-three million, four thousand, six hundred sixty-four".