35742343431000 has 128 divisors (see below), whose sum is σ = 111518850792960. Its totient is φ = 9531057456000.

The previous prime is 35742343430987. The next prime is 35742343431029. The reversal of 35742343431000 is 13434324753.

It is a super-2 number, since 2×35742343431000² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 35742343431000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146491107 + ... + 146734893.

It is an arithmetic number, because the mean of its divisors is an integer number (871241021820).

Almost surely, 2^{35742343431000} is an apocalyptic number.

35742343431000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35742343431000 is an abundant number, since it is smaller than the sum of its proper divisors (75776507361960).

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

35742343431000 is a wasteful number, since it uses less digits than its factorization.

35742343431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292682 (or 292668 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 39.

Adding to 35742343431000 its reverse (13434324753), we get a palindrome (35755777755753).

The spelling of 35742343431000 in words is "thirty-five trillion, seven hundred forty-two billion, three hundred forty-three million, four hundred thirty-one thousand".