35350720 has 56 divisors (see below), whose sum is σ = 85606128. Its totient is φ = 13900800.

The previous prime is 35350709. The next prime is 35350723. The reversal of 35350720 is 2705353.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (35350723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18615 + ... + 20425.

Almost surely, 2^35350720 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 35350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42803064).

35350720 is an abundant number, since it is smaller than the sum of its proper divisors (50255408).

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

35350720 is a wasteful number, since it uses less digits than its factorization.

35350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 25.

The square root of 35350720 is about 5945.6471472835. The cubic root of 35350720 is about 328.1956001674.

The spelling of 35350720 in words is "thirty-five million, three hundred fifty thousand, seven hundred twenty".