35087228640 has 288 divisors, whose sum is σ = 125910360576. Its totient is φ = 8880368640.

The previous prime is 35087228639. The next prime is 35087228653. The reversal of 35087228640 is 4682278053.

35087228640 is a `hidden beast` number, since 3 + 508 + 7 + 22 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×35087228640² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4334677 + ... + 4342763.

It is an arithmetic number, because the mean of its divisors is an integer number (437188752).

Almost surely, 2^35087228640 is an apocalyptic number.

35087228640 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 35087228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62955180288).

35087228640 is an abundant number, since it is smaller than the sum of its proper divisors (90823131936).

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

35087228640 is a wasteful number, since it uses less digits than its factorization.

35087228640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8262 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 35087228640 in words is "thirty-five billion, eighty-seven million, two hundred twenty-eight thousand, six hundred forty".