35741997960 has 128 divisors (see below), whose sum is σ = 109379393280. Its totient is φ = 9340218368.

The previous prime is 35741997959. The next prime is 35741998001. The reversal of 35741997960 is 6979914753.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 35741997894 and 35741997903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6249022 + ... + 6254738.

It is an arithmetic number, because the mean of its divisors is an integer number (854526510).

Almost surely, 2^35741997960 is an apocalyptic number.

35741997960 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 35741997960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54689696640).

35741997960 is an abundant number, since it is smaller than the sum of its proper divisors (73637395320).

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

35741997960 is a wasteful number, since it uses less digits than its factorization.

35741997960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6767 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 12859560, while the sum is 60.

The spelling of 35741997960 in words is "thirty-five billion, seven hundred forty-one million, nine hundred ninety-seven thousand, nine hundred sixty".