3745525680 has 240 divisors, whose sum is σ = 14343769440. Its totient is φ = 867704832.

The previous prime is 3745525673. The next prime is 3745525687. The reversal of 3745525680 is 865255473.

3745525680 is a `hidden beast` number, since 3 + 7 + 45 + 525 + 6 + 80 = 666.

3745525680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3745525673) and next prime (3745525687).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (3745525687) 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, 147351 + ... + 170889.

It is an arithmetic number, because the mean of its divisors is an integer number (59765706).

Almost surely, 2^3745525680 is an apocalyptic number.

3745525680 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 3745525680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171884720).

3745525680 is an abundant number, since it is smaller than the sum of its proper divisors (10598243760).

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

3745525680 is a wasteful number, since it uses less digits than its factorization.

3745525680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23588 (or 23579 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 3745525680 is about 61200.6999959968. The cubic root of 3745525680 is about 1552.9981069512.

The spelling of 3745525680 in words is "three billion, seven hundred forty-five million, five hundred twenty-five thousand, six hundred eighty".