3672854304 has 96 divisors (see below), whose sum is σ = 11038519296. Its totient is φ = 1047486720.

The previous prime is 3672854303. The next prime is 3672854309. The reversal of 3672854304 is 4034582763.

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

It is a super-2 number, since 2×3672854304² = 26979717476822648832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3672854303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389809 + ... + 399119.

It is an arithmetic number, because the mean of its divisors is an integer number (114984576).

Almost surely, 2^3672854304 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 3672854304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519259648).

3672854304 is an abundant number, since it is smaller than the sum of its proper divisors (7365664992).

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

3672854304 is a wasteful number, since it uses less digits than its factorization.

3672854304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9918 (or 9910 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 3672854304 is about 60604.0782786109. The cubic root of 3672854304 is about 1542.8885886987. Note that the first 3 decimals are identical.

The spelling of 3672854304 in words is "three billion, six hundred seventy-two million, eight hundred fifty-four thousand, three hundred four".