3735745200 has 360 divisors, whose sum is σ = 14634799920. Its totient is φ = 874137600.

The previous prime is 3735745199. The next prime is 3735745207. The reversal of 3735745200 is 25475373.

3735745200 is a `hidden beast` number, since 37 + 3 + 574 + 52 + 0 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3735745207) 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, 1146774 + ... + 1150026.

It is an arithmetic number, because the mean of its divisors is an integer number (40652222).

Almost surely, 2^3735745200 is an apocalyptic number.

3735745200 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 3735745200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7317399960).

3735745200 is an abundant number, since it is smaller than the sum of its proper divisors (10899054720).

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

3735745200 is a wasteful number, since it uses less digits than its factorization.

3735745200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 3735745200 is about 61120.7427965335. The cubic root of 3735745200 is about 1551.6451765286.

The spelling of 3735745200 in words is "three billion, seven hundred thirty-five million, seven hundred forty-five thousand, two hundred".