3752478720 has 288 divisors, whose sum is σ = 13696300800. Its totient is φ = 947552256.

The previous prime is 3752478713. The next prime is 3752478841. The reversal of 3752478720 is 278742573.

3752478720 is a `hidden beast` number, since 37 + 524 + 78 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1749969 + ... + 1752111.

It is an arithmetic number, because the mean of its divisors is an integer number (47556600).

Almost surely, 2^3752478720 is an apocalyptic number.

3752478720 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 3752478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6848150400).

3752478720 is an abundant number, since it is smaller than the sum of its proper divisors (9943822080).

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

3752478720 is a wasteful number, since it uses less digits than its factorization.

3752478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 3752478720 is about 61257.4788903363. The cubic root of 3752478720 is about 1553.9584868881.

The spelling of 3752478720 in words is "three billion, seven hundred fifty-two million, four hundred seventy-eight thousand, seven hundred twenty".