35742930336 has 144 divisors (see below), whose sum is σ = 103722353280. Its totient is φ = 11671395840.

The previous prime is 35742930319. The next prime is 35742930367. The reversal of 35742930336 is 63303924753.

35742930336 is a `hidden beast` number, since 357 + 4 + 293 + 0 + 3 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 35742930291 and 35742930300.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12805101 + ... + 12807891.

It is an arithmetic number, because the mean of its divisors is an integer number (720294120).

Almost surely, 2^35742930336 is an apocalyptic number.

35742930336 is a gapful number since it is divisible by the number (36) 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 35742930336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51861176640).

35742930336 is an abundant number, since it is smaller than the sum of its proper divisors (67979422944).

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

35742930336 is a wasteful number, since it uses less digits than its factorization.

35742930336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3688 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 35742930336 in words is "thirty-five billion, seven hundred forty-two million, nine hundred thirty thousand, three hundred thirty-six".