3647412820 has 24 divisors (see below), whose sum is σ = 7714677600. Its totient is φ = 1448467872.

The previous prime is 3647412809. The next prime is 3647412823. The reversal of 3647412820 is 282147463.

3647412820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3647412820³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3647412820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3647412823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 653230 + ... + 658789.

It is an arithmetic number, because the mean of its divisors is an integer number (321444900).

Almost surely, 2^3647412820 is an apocalyptic number.

It is an amenable number.

3647412820 is an abundant number, since it is smaller than the sum of its proper divisors (4067264780).

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

3647412820 is a wasteful number, since it uses less digits than its factorization.

3647412820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312167 (or 1312165 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 3647412820 is about 60393.8144183657. The cubic root of 3647412820 is about 1539.3178544059.

It can be divided in two parts, 36474 and 12820, that added together give a palindrome (49294).

The spelling of 3647412820 in words is "three billion, six hundred forty-seven million, four hundred twelve thousand, eight hundred twenty".