3768629700 has 432 divisors, whose sum is σ = 13166157312. Its totient is φ = 827904000.

The previous prime is 3768629699. The next prime is 3768629723. The reversal of 3768629700 is 79268673.

It is a self number, because there is not a number n which added to its sum of digits gives 3768629700.

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 143 ways as a sum of consecutive naturals, for example, 19130002 + ... + 19130198.

It is an arithmetic number, because the mean of its divisors is an integer number (30477216).

Almost surely, 2^3768629700 is an apocalyptic number.

3768629700 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 3768629700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583078656).

3768629700 is an abundant number, since it is smaller than the sum of its proper divisors (9397527612).

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

3768629700 is a wasteful number, since it uses less digits than its factorization.

3768629700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 3768629700 is about 61389.1659822806. The cubic root of 3768629700 is about 1556.1847513812.

The spelling of 3768629700 in words is "three billion, seven hundred sixty-eight million, six hundred twenty-nine thousand, seven hundred".