3721766400 has 720 divisors, whose sum is σ = 15184184400. Its totient is φ = 892108800.

The previous prime is 3721766381. The next prime is 3721766407. The reversal of 3721766400 is 46671273.

3721766400 is a `hidden beast` number, since 3 + 7 + 2 + 1 + 7 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3721766407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41817556 + ... + 41817644.

It is an arithmetic number, because the mean of its divisors is an integer number (21089145).

Almost surely, 2^3721766400 is an apocalyptic number.

3721766400 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 3721766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7592092200).

3721766400 is an abundant number, since it is smaller than the sum of its proper divisors (11462418000).

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

3721766400 is a wasteful number, since it uses less digits than its factorization.

3721766400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3721766400 is about 61006.2816437783. The cubic root of 3721766400 is about 1549.7073883989.

The spelling of 3721766400 in words is "three billion, seven hundred twenty-one million, seven hundred sixty-six thousand, four hundred".