3726706475520 has 1920 divisors, whose sum is σ = 16632695439360. Its totient is φ = 780416778240.

The previous prime is 3726706475509. The next prime is 3726706475549. The reversal of 3726706475520 is 255746076273.

It is a happy number.

3726706475520 is a `hidden beast` number, since 3 + 7 + 2 + 6 + 70 + 6 + 47 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2564835114 + ... + 2564836566.

It is an arithmetic number, because the mean of its divisors is an integer number (8662862208).

Almost surely, 2^{3726706475520} is an apocalyptic number.

3726706475520 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 3726706475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316347719680).

3726706475520 is an abundant number, since it is smaller than the sum of its proper divisors (12905988963840).

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

3726706475520 is a wasteful number, since it uses less digits than its factorization.

3726706475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 3726706475520 in words is "three trillion, seven hundred twenty-six billion, seven hundred six million, four hundred seventy-five thousand, five hundred twenty".