3773222400 has 240 divisors, whose sum is σ = 12605536944. Its totient is φ = 994836480.

The previous prime is 3773222399. The next prime is 3773222423. The reversal of 3773222400 is 42223773.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 3724294 + ... + 3725306.

Almost surely, 2^3773222400 is an apocalyptic number.

3773222400 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 3773222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302768472).

3773222400 is an abundant number, since it is smaller than the sum of its proper divisors (8832314544).

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

3773222400 is a wasteful number, since it uses less digits than its factorization.

3773222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 3773222400 is about 61426.5610302254. The cubic root of 3773222400 is about 1556.8166511199.

The spelling of 3773222400 in words is "three billion, seven hundred seventy-three million, two hundred twenty-two thousand, four hundred".