3745788480 has 672 divisors, whose sum is σ = 15691104000. Its totient is φ = 802013184.

The previous prime is 3745788433. The next prime is 3745788481. The reversal of 3745788480 is 848875473.

It is a happy number.

3745788480 is a `hidden beast` number, since 37 + 4 + 57 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (3745788481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25139446 + ... + 25139594.

Almost surely, 2^3745788480 is an apocalyptic number.

3745788480 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 3745788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845552000).

3745788480 is an abundant number, since it is smaller than the sum of its proper divisors (11945315520).

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

3745788480 is a wasteful number, since it uses less digits than its factorization.

3745788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The square root of 3745788480 is about 61202.8469926032. The cubic root of 3745788480 is about 1553.0344274744.

The spelling of 3745788480 in words is "three billion, seven hundred forty-five million, seven hundred eighty-eight thousand, four hundred eighty".