35742695040 has 896 divisors, whose sum is σ = 141596138880. Its totient is φ = 8569774080.

The previous prime is 35742695033. The next prime is 35742695057. The reversal of 35742695040 is 4059624753.

35742695040 is a `hidden beast` number, since 3 + 574 + 26 + 9 + 50 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 430634839 + ... + 430634921.

It is an arithmetic number, because the mean of its divisors is an integer number (158031405).

Almost surely, 2^35742695040 is an apocalyptic number.

35742695040 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 35742695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70798069440).

35742695040 is an abundant number, since it is smaller than the sum of its proper divisors (105853443840).

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

35742695040 is an equidigital number, since it uses as much as digits as its factorization.

35742695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 35742695040 in words is "thirty-five billion, seven hundred forty-two million, six hundred ninety-five thousand, forty".