35947780801 has 3 divisors (see below), whose sum is σ = 35947970401. Its totient is φ = 35947591202.

The previous prime is 35947780777. The next prime is 35947780811. The reversal of 35947780801 is 10808774953.

The square root of 35947780801 is 189599.

It is a perfect power (a square), and thus also a powerful number.

35947780801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 10808774953 = 40357 ⋅267829.

It is not a de Polignac number, because 35947780801 - 2¹⁵ = 35947748033 is a prime.

It is a super-3 number, since 3×35947780801³ (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35947780811) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 94800 + ... + 284398.

Almost surely, 2^35947780801 is an apocalyptic number.

35947780801 is the 189599-th square number.

35947780801 is the 94800-th centered octagonal number.

It is an amenable number.

35947780801 is a deficient number, since it is larger than the sum of its proper divisors (189600).

35947780801 is an frugal number, since it uses more digits than its factorization.

35947780801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379198 (or 189599 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 35947780801 in words is "thirty-five billion, nine hundred forty-seven million, seven hundred eighty thousand, eight hundred one".