3753197959680 has 1600 divisors, whose sum is σ = 15385375272960. Its totient is φ = 866843099136.

The previous prime is 3753197959663. The next prime is 3753197959681. The reversal of 3753197959680 is 869597913573.

3753197959680 is a `hidden beast` number, since 3 + 7 + 531 + 9 + 7 + 9 + 5 + 9 + 6 + 80 = 666.

It is a super-2 number, since 2×3753197959680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3753197959599 and 3753197959608.

It is not an unprimeable number, because it can be changed into a prime (3753197959681) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6504675552 + ... + 6504676128.

Almost surely, 2^{3753197959680} is an apocalyptic number.

3753197959680 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 3753197959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7692687636480).

3753197959680 is an abundant number, since it is smaller than the sum of its proper divisors (11632177313280).

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

3753197959680 is a wasteful number, since it uses less digits than its factorization.

3753197959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 385786800, while the sum is 72.

The spelling of 3753197959680 in words is "three trillion, seven hundred fifty-three billion, one hundred ninety-seven million, nine hundred fifty-nine thousand, six hundred eighty".