3672479264 has 96 divisors (see below), whose sum is σ = 7957958400. Its totient is φ = 1660538880.

The previous prime is 3672479231. The next prime is 3672479309. The reversal of 3672479264 is 4629742763.

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, 4274867 + ... + 4275725.

It is an arithmetic number, because the mean of its divisors is an integer number (82895400).

Almost surely, 2^3672479264 is an apocalyptic number.

3672479264 is a gapful number since it is divisible by the number (34) 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 3672479264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978979200).

3672479264 is an abundant number, since it is smaller than the sum of its proper divisors (4285479136).

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

3672479264 is a wasteful number, since it uses less digits than its factorization.

3672479264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1178 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 50.

The square root of 3672479264 is about 60600.9840184134. The cubic root of 3672479264 is about 1542.8360714478.

The spelling of 3672479264 in words is "three billion, six hundred seventy-two million, four hundred seventy-nine thousand, two hundred sixty-four".