35768740 has 48 divisors (see below), whose sum is σ = 86284800. Its totient is φ = 12200832.

The previous prime is 35768737. The next prime is 35768741. The reversal of 35768740 is 4786753.

It is a super-2 number, since 2×35768740² = 2558805522375200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35768693 and 35768702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35768741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32926 + ... + 33994.

It is an arithmetic number, because the mean of its divisors is an integer number (1797600).

Almost surely, 2^35768740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35768740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43142400).

35768740 is an abundant number, since it is smaller than the sum of its proper divisors (50516060).

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

35768740 is a wasteful number, since it uses less digits than its factorization.

35768740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 35768740 is about 5980.6972837622. The cubic root of 35768740 is about 329.4841650211.

The spelling of 35768740 in words is "thirty-five million, seven hundred sixty-eight thousand, seven hundred forty".