3730636800 has 612 divisors, whose sum is σ = 15212624544. Its totient is φ = 865075200.

The previous prime is 3730636787. The next prime is 3730636837. The reversal of 3730636800 is 86360373.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 162201589 + ... + 162201611.

Almost surely, 2^3730636800 is an apocalyptic number.

3730636800 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 3730636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7606312272).

3730636800 is an abundant number, since it is smaller than the sum of its proper divisors (11481987744).

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

3730636800 is a wasteful number, since it uses less digits than its factorization.

3730636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3730636800 is about 61078.9390870536. The cubic root of 3730636800 is about 1550.9375943724.

The spelling of 3730636800 in words is "three billion, seven hundred thirty million, six hundred thirty-six thousand, eight hundred".