3768267000 has 128 divisors (see below), whose sum is σ = 12136550400. Its totient is φ = 972432000.

The previous prime is 3768266987. The next prime is 3768267011. The reversal of 3768267000 is 7628673.

It is a self number, because there is not a number n which added to its sum of digits gives 3768267000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72741 + ... + 113259.

It is an arithmetic number, because the mean of its divisors is an integer number (94816800).

Almost surely, 2^3768267000 is an apocalyptic number.

3768267000 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 3768267000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6068275200).

3768267000 is an abundant number, since it is smaller than the sum of its proper divisors (8368283400).

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

3768267000 is a wasteful number, since it uses less digits than its factorization.

3768267000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40574 (or 40560 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 3768267000 is about 61386.2118068871. The cubic root of 3768267000 is about 1556.1348263986.

The spelling of 3768267000 in words is "three billion, seven hundred sixty-eight million, two hundred sixty-seven thousand".