35997102240 has 384 divisors, whose sum is σ = 126571382784. Its totient is φ = 8526336000.

The previous prime is 35997102221. The next prime is 35997102263. The reversal of 35997102240 is 4220179953.

It is a junction number, because it is equal to n+sod(n) for n = 35997102192 and 35997102201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49108914 + ... + 49109646.

It is an arithmetic number, because the mean of its divisors is an integer number (329612976).

Almost surely, 2^35997102240 is an apocalyptic number.

35997102240 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 35997102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63285691392).

35997102240 is an abundant number, since it is smaller than the sum of its proper divisors (90574280544).

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

35997102240 is a wasteful number, since it uses less digits than its factorization.

35997102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 35997102240 in words is "thirty-five billion, nine hundred ninety-seven million, one hundred two thousand, two hundred forty".