3771363960 has 768 divisors, whose sum is σ = 16290892800. Its totient is φ = 734552064.

The previous prime is 3771363949. The next prime is 3771364001. The reversal of 3771363960 is 693631773.

3771363960 is a `hidden beast` number, since 3 + 7 + 7 + 1 + 3 + 639 + 6 + 0 = 666.

It is a super-2 number, since 2×3771363960² = 28446372237573763200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 45438079 + ... + 45438161.

It is an arithmetic number, because the mean of its divisors is an integer number (21212100).

Almost surely, 2^3771363960 is an apocalyptic number.

3771363960 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 3771363960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8145446400).

3771363960 is an abundant number, since it is smaller than the sum of its proper divisors (12519528840).

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

3771363960 is a wasteful number, since it uses less digits than its factorization.

3771363960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The square root of 3771363960 is about 61411.4318347977. The cubic root of 3771363960 is about 1556.5610141454.

The spelling of 3771363960 in words is "three billion, seven hundred seventy-one million, three hundred sixty-three thousand, nine hundred sixty".