35725381952 has 112 divisors (see below), whose sum is σ = 82045454400. Its totient is φ = 15286689792.

The previous prime is 35725381943. The next prime is 35725381961. The reversal of 35725381952 is 25918352753.

It is an interprime number because it is at equal distance from previous prime (35725381943) and next prime (35725381961).

It is a self number, because there is not a number n which added to its sum of digits gives 35725381952.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 928799 + ... + 966497.

It is an arithmetic number, because the mean of its divisors is an integer number (732548700).

Almost surely, 2^35725381952 is an apocalyptic number.

35725381952 is a gapful number since it is divisible by the number (32) 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 35725381952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41022727200).

35725381952 is an abundant number, since it is smaller than the sum of its proper divisors (46320072448).

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

35725381952 is a wasteful number, since it uses less digits than its factorization.

35725381952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37808 (or 37798 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 50.

The spelling of 35725381952 in words is "thirty-five billion, seven hundred twenty-five million, three hundred eighty-one thousand, nine hundred fifty-two".