3726132480 has 864 divisors, whose sum is σ = 16070745600. Its totient is φ = 794787840.

The previous prime is 3726132463. The next prime is 3726132493. The reversal of 3726132480 is 842316273.

It is a happy number.

3726132480 is a `hidden beast` number, since 37 + 2 + 613 + 2 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90881260 + ... + 90881300.

It is an arithmetic number, because the mean of its divisors is an integer number (18600400).

Almost surely, 2^3726132480 is an apocalyptic number.

3726132480 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 3726132480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035372800).

3726132480 is an abundant number, since it is smaller than the sum of its proper divisors (12344613120).

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

3726132480 is a wasteful number, since it uses less digits than its factorization.

3726132480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3726132480 is about 61042.0550112789. The cubic root of 3726132480 is about 1550.3131493553.

The spelling of 3726132480 in words is "three billion, seven hundred twenty-six million, one hundred thirty-two thousand, four hundred eighty".