3730287600 has 360 divisors, whose sum is σ = 14386631280. Its totient is φ = 912591360.

The previous prime is 3730287593. The next prime is 3730287623. The reversal of 3730287600 is 67820373.

3730287600 is a `hidden beast` number, since 373 + 0 + 287 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22885119 + ... + 22885281.

Almost surely, 2^3730287600 is an apocalyptic number.

3730287600 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 3730287600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193315640).

3730287600 is an abundant number, since it is smaller than the sum of its proper divisors (10656343680).

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

3730287600 is a wasteful number, since it uses less digits than its factorization.

3730287600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 186 counting only the distinct ones).

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

The square root of 3730287600 is about 61076.0804243363. The cubic root of 3730287600 is about 1550.8892018918.

It can be divided in two parts, 373028 and 7600, that added together give a triangular number (380628 = T₈₇₂).

The spelling of 3730287600 in words is "three billion, seven hundred thirty million, two hundred eighty-seven thousand, six hundred".