3463967672 has 96 divisors (see below), whose sum is σ = 7579084800. Its totient is φ = 1478917440.

The previous prime is 3463967657. The next prime is 3463967677. The reversal of 3463967672 is 2767693643.

It is a super-2 number, since 2×3463967672² = 23998144065322199168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3463967677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2335043 + ... + 2336525.

It is an arithmetic number, because the mean of its divisors is an integer number (78948800).

Almost surely, 2^3463967672 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 3463967672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789542400).

3463967672 is an abundant number, since it is smaller than the sum of its proper divisors (4115117128).

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

3463967672 is a wasteful number, since it uses less digits than its factorization.

3463967672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1642 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 53.

The square root of 3463967672 is about 58855.4812400680. The cubic root of 3463967672 is about 1513.0662474868.

The spelling of 3463967672 in words is "three billion, four hundred sixty-three million, nine hundred sixty-seven thousand, six hundred seventy-two".