3726195972480 has 512 divisors, whose sum is σ = 13698271641600. Its totient is φ = 956261376000.

The previous prime is 3726195972469. The next prime is 3726195972491. The reversal of 3726195972480 is 842795916273.

3726195972480 is a `hidden beast` number, since 3 + 7 + 2 + 6 + 19 + 597 + 24 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3726195972469) and next prime (3726195972491).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96938865 + ... + 96977295.

It is an arithmetic number, because the mean of its divisors is an integer number (26754436800).

It is a 1-persistent number, because it is pandigital, but 2⋅3726195972480 = 7452391944960 is not.

Almost surely, 2^{3726195972480} is an apocalyptic number.

3726195972480 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 3726195972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6849135820800).

3726195972480 is an abundant number, since it is smaller than the sum of its proper divisors (9972075669120).

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

3726195972480 is a wasteful number, since it uses less digits than its factorization.

3726195972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38671 (or 38653 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3726195972480 in words is "three trillion, seven hundred twenty-six billion, one hundred ninety-five million, nine hundred seventy-two thousand, four hundred eighty".