3773968800 has 288 divisors, whose sum is σ = 14651062272. Its totient is φ = 825031680.

The previous prime is 3773968789. The next prime is 3773968811. The reversal of 3773968800 is 88693773.

It is an interprime number because it is at equal distance from previous prime (3773968789) and next prime (3773968811).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 381517 + ... + 391283.

It is an arithmetic number, because the mean of its divisors is an integer number (50871744).

Almost surely, 2^3773968800 is an apocalyptic number.

3773968800 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 3773968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325531136).

3773968800 is an abundant number, since it is smaller than the sum of its proper divisors (10877093472).

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

3773968800 is a wasteful number, since it uses less digits than its factorization.

3773968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9820 (or 9807 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The square root of 3773968800 is about 61432.6362774706. The cubic root of 3773968800 is about 1556.9192982486.

The spelling of 3773968800 in words is "three billion, seven hundred seventy-three million, nine hundred sixty-eight thousand, eight hundred".