35761982401 has 8 divisors (see below), whose sum is σ = 35899204608. Its totient is φ = 35625000000.

The previous prime is 35761982309. The next prime is 35761982437. The reversal of 35761982401 is 10428916753.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 5-Lehmer number, since φ(35761982401) divides (35761982401-1)⁵.

It is a cyclic number.

It is not a de Polignac number, because 35761982401 - 2¹⁷ = 35761851329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35761982491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241776 + ... + 360526.

It is an arithmetic number, because the mean of its divisors is an integer number (4487400576).

It is a 2-persistent number, because it is pandigital, and so is 2⋅35761982401 = 71523964802, but 3⋅35761982401 = 107285947203 is not.

Almost surely, 2^35761982401 is an apocalyptic number.

It is an amenable number.

35761982401 is a deficient number, since it is larger than the sum of its proper divisors (137222207).

35761982401 is a wasteful number, since it uses less digits than its factorization.

35761982401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119903.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 35761982401 in words is "thirty-five billion, seven hundred sixty-one million, nine hundred eighty-two thousand, four hundred one".