35152964 has 48 divisors (see below), whose sum is σ = 80747520. Its totient is φ = 12972960.

The previous prime is 35152963. The next prime is 35152969. The reversal of 35152964 is 46925153.

It is not an unprimeable number, because it can be changed into a prime (35152963) 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, 2849 + ... + 8855.

It is an arithmetic number, because the mean of its divisors is an integer number (1682240).

Almost surely, 2^35152964 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 35152964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40373760).

35152964 is an abundant number, since it is smaller than the sum of its proper divisors (45594556).

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

35152964 is a wasteful number, since it uses less digits than its factorization.

35152964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6048 (or 6046 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The square root of 35152964 is about 5928.9935064900. The cubic root of 35152964 is about 327.5824674322.

The spelling of 35152964 in words is "thirty-five million, one hundred fifty-two thousand, nine hundred sixty-four".