3764605020 has 96 divisors (see below), whose sum is σ = 11523568896. Its totient is φ = 910694400.

The previous prime is 3764605007. The next prime is 3764605067. The reversal of 3764605020 is 205064673.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 318252 + ... + 329868.

It is an arithmetic number, because the mean of its divisors is an integer number (120037176).

Almost surely, 2^3764605020 is an apocalyptic number.

3764605020 is a gapful number since it is divisible by the number (30) 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 3764605020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5761784448).

3764605020 is an abundant number, since it is smaller than the sum of its proper divisors (7758963876).

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

3764605020 is a wasteful number, since it uses less digits than its factorization.

3764605020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131 (or 12129 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 3764605020 is about 61356.3771746670. The cubic root of 3764605020 is about 1555.6305820918.

Adding to 3764605020 its reverse (205064673), we get a palindrome (3969669693).

The spelling of 3764605020 in words is "three billion, seven hundred sixty-four million, six hundred five thousand, twenty".