3710972880 has 200 divisors, whose sum is σ = 12923215272. Its totient is φ = 986950656.

The previous prime is 3710972873. The next prime is 3710972887. The reversal of 3710972880 is 882790173.

It is an interprime number because it is at equal distance from previous prime (3710972873) and next prime (3710972887).

It can be written as a sum of positive squares in 4 ways, for example, as 483824016 + 3227148864 = 21996^2 + 56808^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3710972887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4231002 + ... + 4231878.

Almost surely, 2^3710972880 is an apocalyptic number.

3710972880 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 3710972880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6461607636).

3710972880 is an abundant number, since it is smaller than the sum of its proper divisors (9212242392).

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

3710972880 is a wasteful number, since it uses less digits than its factorization.

3710972880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 3710972880 is about 60917.7550472767. The cubic root of 3710972880 is about 1548.2078322001.

The spelling of 3710972880 in words is "three billion, seven hundred ten million, nine hundred seventy-two thousand, eight hundred eighty".