35342198640 has 400 divisors, whose sum is σ = 143156164800. Its totient is φ = 8077708800.

The previous prime is 35342198629. The next prime is 35342198657. The reversal of 35342198640 is 4689124353.

35342198640 is a `hidden beast` number, since 3 + 534 + 21 + 98 + 6 + 4 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 2214690 + ... + 2230590.

It is an arithmetic number, because the mean of its divisors is an integer number (357890412).

Almost surely, 2^35342198640 is an apocalyptic number.

35342198640 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 35342198640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71578082400).

35342198640 is an abundant number, since it is smaller than the sum of its proper divisors (107813966160).

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

35342198640 is a wasteful number, since it uses less digits than its factorization.

35342198640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15947 (or 15918 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 35342198640 in words is "thirty-five billion, three hundred forty-two million, one hundred ninety-eight thousand, six hundred forty".