3745176960 has 512 divisors, whose sum is σ = 14382489600. Its totient is φ = 811008000.

The previous prime is 3745176949. The next prime is 3745176983. The reversal of 3745176960 is 696715473.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37080910 + ... + 37081010.

It is an arithmetic number, because the mean of its divisors is an integer number (28090800).

Almost surely, 2^3745176960 is an apocalyptic number.

3745176960 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 3745176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7191244800).

3745176960 is an abundant number, since it is smaller than the sum of its proper divisors (10637312640).

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

3745176960 is a wasteful number, since it uses less digits than its factorization.

3745176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 3745176960 is about 61197.8509426597. The cubic root of 3745176960 is about 1552.9499091498.

It can be divided in two parts, 37451 and 76960, that added together give a palindrome (114411).

The spelling of 3745176960 in words is "three billion, seven hundred forty-five million, one hundred seventy-six thousand, nine hundred sixty".