3464563968 has 576 divisors, whose sum is σ = 11930419200. Its totient is φ = 985374720.

The previous prime is 3464563939. The next prime is 3464563979. The reversal of 3464563968 is 8693654643.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (11197440) is a multiple of the sum of its prime factors (135).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93636846 + ... + 93636882.

Almost surely, 2^3464563968 is an apocalyptic number.

3464563968 is a gapful number since it is divisible by the number (38) 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 3464563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5965209600).

3464563968 is an abundant number, since it is smaller than the sum of its proper divisors (8465855232).

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

3464563968 is a wasteful number, since it uses less digits than its factorization.

3464563968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 3464563968 is about 58860.5467864511. The cubic root of 3464563968 is about 1513.1530634996.

The spelling of 3464563968 in words is "three billion, four hundred sixty-four million, five hundred sixty-three thousand, nine hundred sixty-eight".