3767268960 has 864 divisors, whose sum is σ = 16976524320. Its totient is φ = 773369856.

The previous prime is 3767268959. The next prime is 3767268961. The reversal of 3767268960 is 698627673.

3767268960 is a `hidden beast` number, since 376 + 7 + 268 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3767268959) and next prime (3767268961).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3767268897 and 3767268906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3767268961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 101818062 + ... + 101818098.

It is an arithmetic number, because the mean of its divisors is an integer number (19648755).

Almost surely, 2^3767268960 is an apocalyptic number.

3767268960 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 3767268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8488262160).

3767268960 is an abundant number, since it is smaller than the sum of its proper divisors (13209255360).

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

3767268960 is a wasteful number, since it uses less digits than its factorization.

3767268960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 3767268960 is about 61378.0820814727. The cubic root of 3767268960 is about 1555.9974315045.

The spelling of 3767268960 in words is "three billion, seven hundred sixty-seven million, two hundred sixty-eight thousand, nine hundred sixty".