3997597727760 has 320 divisors, whose sum is σ = 15256769837568. Its totient is φ = 843206049792.

The previous prime is 3997597727749. The next prime is 3997597727831. The reversal of 3997597727760 is 677277957993.

It is a Harshad number since it is a multiple of its sum of digits (78).

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, 81504204 + ... + 81553236.

Almost surely, 2^{3997597727760} is an apocalyptic number.

3997597727760 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 3997597727760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7628384918784).

3997597727760 is an abundant number, since it is smaller than the sum of its proper divisors (11259172109808).

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

3997597727760 is a wasteful number, since it uses less digits than its factorization.

3997597727760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52802 (or 52796 counting only the distinct ones).

The product of its (nonzero) digits is 2205414540, while the sum is 78.

The spelling of 3997597727760 in words is "three trillion, nine hundred ninety-seven billion, five hundred ninety-seven million, seven hundred twenty-seven thousand, seven hundred sixty".