3628613472 has 96 divisors (see below), whose sum is σ = 10537599744. Its totient is φ = 1084070400.

The previous prime is 3628613419. The next prime is 3628613473. The reversal of 3628613472 is 2743168263.

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

It is a super-3 number, since 3×3628613472³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628613473) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50778 + ... + 99174.

It is an arithmetic number, because the mean of its divisors is an integer number (109766664).

Almost surely, 2^3628613472 is an apocalyptic number.

3628613472 is a gapful number since it is divisible by the number (32) 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 3628613472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268799872).

3628613472 is an abundant number, since it is smaller than the sum of its proper divisors (6908986272).

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

3628613472 is a wasteful number, since it uses less digits than its factorization.

3628613472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48492 (or 48484 counting only the distinct ones).

The product of its digits is 290304, while the sum is 42.

The square root of 3628613472 is about 60237.9736710989. The cubic root of 3628613472 is about 1536.6686677421.

The spelling of 3628613472 in words is "three billion, six hundred twenty-eight million, six hundred thirteen thousand, four hundred seventy-two".