35382501000 has 1536 divisors, whose sum is σ = 162229616640. Its totient is φ = 6998400000.

The previous prime is 35382500987. The next prime is 35382501001. The reversal of 35382501000 is 10528353.

35382501000 is a `hidden beast` number, since 3 + 538 + 25 + 0 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35382501001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 580040970 + ... + 580041030.

It is an arithmetic number, because the mean of its divisors is an integer number (105618240).

Almost surely, 2^35382501000 is an apocalyptic number.

35382501000 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 35382501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81114808320).

35382501000 is an abundant number, since it is smaller than the sum of its proper divisors (126847115640).

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

35382501000 is a wasteful number, since it uses less digits than its factorization.

35382501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 35382501000 in words is "thirty-five billion, three hundred eighty-two million, five hundred one thousand".