3773646900 has 144 divisors (see below), whose sum is σ = 12157346880. Its totient is φ = 1004169600.

The previous prime is 3773646887. The next prime is 3773646901. The reversal of 3773646900 is 96463773.

It is a super-2 number, since 2×3773646900² = 28480821851759220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3773646901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1583710 + ... + 1586090.

It is an arithmetic number, because the mean of its divisors is an integer number (84426020).

Almost surely, 2^3773646900 is an apocalyptic number.

3773646900 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 3773646900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078673440).

3773646900 is an abundant number, since it is smaller than the sum of its proper divisors (8383699980).

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

3773646900 is a wasteful number, since it uses less digits than its factorization.

3773646900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The square root of 3773646900 is about 61430.0162786890. The cubic root of 3773646900 is about 1556.8750312714.

The spelling of 3773646900 in words is "three billion, seven hundred seventy-three million, six hundred forty-six thousand, nine hundred".