3763175899968 has 672 divisors, whose sum is σ = 12178807280640. Its totient is φ = 1148155637760.

The previous prime is 3763175899963. The next prime is 3763175899979. The reversal of 3763175899968 is 8699985713673.

3763175899968 is a `hidden beast` number, since 376 + 3 + 1 + 75 + 8 + 99 + 96 + 8 = 666.

It is a super-2 number, since 2×3763175899968² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3763175899963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1296304405 + ... + 1296307307.

It is an arithmetic number, because the mean of its divisors is an integer number (18123225120).

Almost surely, 2^{3763175899968} is an apocalyptic number.

3763175899968 is a gapful number since it is divisible by the number (38) 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 3763175899968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089403640320).

3763175899968 is an abundant number, since it is smaller than the sum of its proper divisors (8415631380672).

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

3763175899968 is a wasteful number, since it uses less digits than its factorization.

3763175899968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3075 counting only the distinct ones).

The product of its digits is 3703553280, while the sum is 81.

The spelling of 3763175899968 in words is "three trillion, seven hundred sixty-three billion, one hundred seventy-five million, eight hundred ninety-nine thousand, nine hundred sixty-eight".