3768208600 has 48 divisors (see below), whose sum is σ = 9435021120. Its totient is φ = 1391337600.

The previous prime is 3768208579. The next prime is 3768208603. The reversal of 3768208600 is 68028673.

It is a happy number.

It is a super-2 number, since 2×3768208600² = 28398792106227920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3768208603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 722056 + ... + 727255.

It is an arithmetic number, because the mean of its divisors is an integer number (196562940).

Almost surely, 2^3768208600 is an apocalyptic number.

It is an amenable number.

3768208600 is an abundant number, since it is smaller than the sum of its proper divisors (5666812520).

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

3768208600 is a wasteful number, since it uses less digits than its factorization.

3768208600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449340 (or 1449331 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 3768208600 is about 61385.7361281919. The cubic root of 3768208600 is about 1556.1267874474.

The spelling of 3768208600 in words is "three billion, seven hundred sixty-eight million, two hundred eight thousand, six hundred".