3726103680 has 768 divisors, whose sum is σ = 15281884800. Its totient is φ = 859963392.

The previous prime is 3726103631. The next prime is 3726103691. The reversal of 3726103680 is 863016273.

It is a happy number.

3726103680 is a `hidden beast` number, since 3 + 7 + 2 + 610 + 36 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38413392 + ... + 38413488.

Almost surely, 2^3726103680 is an apocalyptic number.

3726103680 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 3726103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640942400).

3726103680 is an abundant number, since it is smaller than the sum of its proper divisors (11555781120).

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

3726103680 is a wasteful number, since it uses less digits than its factorization.

3726103680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3726103680 is about 61041.8191078870. The cubic root of 3726103680 is about 1550.3091551215.

The spelling of 3726103680 in words is "three billion, seven hundred twenty-six million, one hundred three thousand, six hundred eighty".